\documentclass[9pt]{article}
\usepackage{amsmath}
\begin{document}
Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  14.0 & -3.00 x_{1} & -5.00 x_{2} & -4.00 x_{3} & -3.00 x_{4} & +  7.00 x_{5} & +  6.00 x_{6} & + 10.00 x_{7} & +  8.00 x_{8} & +  1.00 x_{9} & -10.00 x_{10} & -2.00 x_{11} & -9.00 x_{12} & -10.00 x_{13} & -4.00 x_{14} & +  4.00 x_{15} & +  5.00 x_{16}\\
 x_{18}   &  -2.0 & +  2.00 x_{1} & -8.00 x_{2} & +  4.00 x_{3} & + 10.00 x_{4} & -4.00 x_{5} & -1.00 x_{6} & +  3.00 x_{7} & -3.00 x_{8} & +  6.00 x_{9} & -3.00 x_{10} & +  4.00 x_{11} & -7.00 x_{12} & +  8.00 x_{13} & +  8.00 x_{14} & +  9.00 x_{15} & -3.00 x_{16}\\
 x_{19}   &  70.0 & +  5.00 x_{1} & -8.00 x_{2} & -2.00 x_{3} & -4.00 x_{4} & +  1.00 x_{5} & -5.00 x_{6} & -4.00 x_{7} & +  8.00 x_{8} & +  3.00 x_{9} & -9.00 x_{10} & -7.00 x_{11} & -10.00 x_{12} & -2.00 x_{13} & -5.00 x_{14} & +  1.00 x_{15} & +  9.00 x_{16}\\
 x_{20}   &  23.0 & +  5.00 x_{1} & +  2.00 x_{2} & -6.00 x_{3} & +  6.00 x_{4} & -4.00 x_{5} & -7.00 x_{6} & -9.00 x_{7} & -3.00 x_{8} & +  3.00 x_{9} & +  7.00 x_{10} &   & -6.00 x_{12} & -5.00 x_{13} & -5.00 x_{14} & -10.00 x_{15} & + 10.00 x_{16}\\
 x_{21}   &  -12.0 & +  9.00 x_{1} & +  5.00 x_{2} & -1.00 x_{3} & -10.00 x_{4} & -6.00 x_{5} & -9.00 x_{6} & +  4.00 x_{7} & +  8.00 x_{8} & +  4.00 x_{9} & -5.00 x_{10} & +  1.00 x_{11} & +  9.00 x_{12} & -9.00 x_{13} &   & +  5.00 x_{15} & +  2.00 x_{16}\\
 x_{22}   &  -8.0 & +  1.00 x_{1} & +  9.00 x_{2} & +  8.00 x_{3} & +  3.00 x_{4} & -9.00 x_{5} & +  2.00 x_{6} & -6.00 x_{7} & +  1.00 x_{8} & +  4.00 x_{9} & -6.00 x_{10} & +  4.00 x_{11} & +  1.00 x_{12} & + 10.00 x_{13} & -4.00 x_{14} & -9.00 x_{15} & -1.00 x_{16}\\
 x_{23}   &  -10.0 & +  4.00 x_{1} & +  2.00 x_{2} & +  5.00 x_{3} &   & +  9.00 x_{5} & +  1.00 x_{6} & -3.00 x_{7} & -2.00 x_{8} & +  8.00 x_{9} & -8.00 x_{10} & -1.00 x_{11} & +  7.00 x_{12} & + 10.00 x_{13} & +  1.00 x_{14} & -10.00 x_{15} & -5.00 x_{16}\\
 x_{24}   &  56.0 & +  5.00 x_{1} & +  3.00 x_{2} & -10.00 x_{3} & -8.00 x_{4} & -6.00 x_{5} & -2.00 x_{6} & -3.00 x_{7} & -4.00 x_{8} & +  7.00 x_{9} &   & -4.00 x_{11} & +  3.00 x_{12} & +  9.00 x_{13} & +  2.00 x_{14} & -10.00 x_{15} & +  4.00 x_{16}\\
 x_{25}   &  0.0 & -3.00 x_{1} & -10.00 x_{2} & -3.00 x_{3} & +  7.00 x_{4} & +  7.00 x_{5} & +  8.00 x_{6} & +  1.00 x_{7} & +  2.00 x_{8} &    &   & -4.00 x_{11} & +  2.00 x_{12} & +  2.00 x_{13} & -8.00 x_{14} & -9.00 x_{15} & + 10.00 x_{16}\\
 x_{26}   &  74.0 & -7.00 x_{1} & -6.00 x_{2} & +  3.00 x_{3} & -1.00 x_{4} & +  3.00 x_{5} & -7.00 x_{6} & -9.00 x_{7} & -5.00 x_{8} & +  8.00 x_{9} & +  2.00 x_{10} & -8.00 x_{11} & -3.00 x_{12} & +  9.00 x_{13} & -8.00 x_{14} & +  9.00 x_{15} & -2.00 x_{16}\\
 x_{27}   &  0.0 & +  2.00 x_{1} & -7.00 x_{2} & +  5.00 x_{3} &   & -1.00 x_{5} & -3.00 x_{6} & +  5.00 x_{7} & +  7.00 x_{8} & -9.00 x_{9} & +  7.00 x_{10} & +  5.00 x_{11} & -6.00 x_{12} & +  4.00 x_{13} & +  8.00 x_{14} & -5.00 x_{15} &   \\
 x_{28}   &  7.0 & -9.00 x_{1} & -2.00 x_{2} & +  4.00 x_{3} & -8.00 x_{4} & -5.00 x_{5} & + 10.00 x_{6} & +  2.00 x_{7} & -7.00 x_{8} & -1.00 x_{9} & +  6.00 x_{10} & +  7.00 x_{11} & -7.00 x_{12} & -10.00 x_{13} & + 10.00 x_{14} & +  4.00 x_{15} & +  6.00 x_{16}\\
 x_{29}   &  43.0 & -10.00 x_{1} & -7.00 x_{2} & +  9.00 x_{3} & -6.00 x_{4} & -9.00 x_{5} & -2.00 x_{6} & +  2.00 x_{7} & -8.00 x_{8} & + 10.00 x_{9} & -4.00 x_{10} & +  5.00 x_{11} & -10.00 x_{12} & -5.00 x_{13} & +  2.00 x_{14} & +  6.00 x_{15} & +  3.00 x_{16}\\
 x_{30}   &  -17.0 & +  8.00 x_{1} & -5.00 x_{2} & +  7.00 x_{3} & -6.00 x_{4} &   & +  9.00 x_{6} & +  4.00 x_{7} & -10.00 x_{8} & +  3.00 x_{9} &   & + 10.00 x_{11} & +  4.00 x_{12} & -4.00 x_{13} & -1.00 x_{14} & -1.00 x_{15} & +  1.00 x_{16}\\
 x_{31}   &  35.0  &   & -9.00 x_{2} & -1.00 x_{3} & +  3.00 x_{4} & +  5.00 x_{5} & -4.00 x_{6} & +  6.00 x_{7} & +  5.00 x_{8} & -9.00 x_{9} & -1.00 x_{10} & -2.00 x_{11} & -10.00 x_{12} & +  7.00 x_{13} & -7.00 x_{14} & +  7.00 x_{15} & -5.00 x_{16}\\
 x_{32}   &  -31.0 & +  6.00 x_{1} & -2.00 x_{2} & -1.00 x_{3} & +  7.00 x_{4} & +  6.00 x_{5} & -8.00 x_{6} & +  4.00 x_{7} & -9.00 x_{8} & +  1.00 x_{9} & -5.00 x_{10} & +  2.00 x_{11} & +  7.00 x_{12} & +  6.00 x_{13} & +  6.00 x_{14} & +  9.00 x_{15} & +  8.00 x_{16}\\
 x_{33}   &  45.0 & +  3.00 x_{1} & -10.00 x_{2} & -4.00 x_{3} & +  3.00 x_{4} & +  3.00 x_{5} & -9.00 x_{6} & -7.00 x_{7} &   & -5.00 x_{9} & + 10.00 x_{10} & +  8.00 x_{11} & -9.00 x_{12} & +  5.00 x_{13} & -1.00 x_{14} & -9.00 x_{15} & -1.00 x_{16}\\
\hline
z    &  0.0 & +  4.00 x_{1} & -5.00 x_{2} & -2.00 x_{3} & -5.00 x_{4} & +  5.00 x_{5} & -3.00 x_{6} & +  1.00 x_{7} & +  3.00 x_{8} & +  3.00 x_{9} & +  1.00 x_{10} & -3.00 x_{11} & +  2.00 x_{12} & +  2.00 x_{13} & -3.00 x_{14} & -1.00 x_{15} & -5.00 x_{16}\\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{16}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,33$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & +  3.00 y_{17} & -2.00 y_{18} & -5.00 y_{19} & -5.00 y_{20} & -9.00 y_{21} & -1.00 y_{22} & -4.00 y_{23} & -5.00 y_{24} & +  3.00 y_{25} & +  7.00 y_{26} & -2.00 y_{27} & +  9.00 y_{28} & + 10.00 y_{29} & -8.00 y_{30} &   & -6.00 y_{32} & -3.00 y_{33}\\
 y_{2}   &  1.0 & +  5.00 y_{17} & +  8.00 y_{18} & +  8.00 y_{19} & -2.00 y_{20} & -5.00 y_{21} & -9.00 y_{22} & -2.00 y_{23} & -3.00 y_{24} & + 10.00 y_{25} & +  6.00 y_{26} & +  7.00 y_{27} & +  2.00 y_{28} & +  7.00 y_{29} & +  5.00 y_{30} & +  9.00 y_{31} & +  2.00 y_{32} & + 10.00 y_{33}\\
 y_{3}   &  1.0 & +  4.00 y_{17} & -4.00 y_{18} & +  2.00 y_{19} & +  6.00 y_{20} & +  1.00 y_{21} & -8.00 y_{22} & -5.00 y_{23} & + 10.00 y_{24} & +  3.00 y_{25} & -3.00 y_{26} & -5.00 y_{27} & -4.00 y_{28} & -9.00 y_{29} & -7.00 y_{30} & +  1.00 y_{31} & +  1.00 y_{32} & +  4.00 y_{33}\\
 y_{4}   &  1.0 & +  3.00 y_{17} & -10.00 y_{18} & +  4.00 y_{19} & -6.00 y_{20} & + 10.00 y_{21} & -3.00 y_{22} &   & +  8.00 y_{24} & -7.00 y_{25} & +  1.00 y_{26} &   & +  8.00 y_{28} & +  6.00 y_{29} & +  6.00 y_{30} & -3.00 y_{31} & -7.00 y_{32} & -3.00 y_{33}\\
 y_{5}   &  1.0 & -7.00 y_{17} & +  4.00 y_{18} & -1.00 y_{19} & +  4.00 y_{20} & +  6.00 y_{21} & +  9.00 y_{22} & -9.00 y_{23} & +  6.00 y_{24} & -7.00 y_{25} & -3.00 y_{26} & +  1.00 y_{27} & +  5.00 y_{28} & +  9.00 y_{29} &   & -5.00 y_{31} & -6.00 y_{32} & -3.00 y_{33}\\
 y_{6}   &  1.0 & -6.00 y_{17} & +  1.00 y_{18} & +  5.00 y_{19} & +  7.00 y_{20} & +  9.00 y_{21} & -2.00 y_{22} & -1.00 y_{23} & +  2.00 y_{24} & -8.00 y_{25} & +  7.00 y_{26} & +  3.00 y_{27} & -10.00 y_{28} & +  2.00 y_{29} & -9.00 y_{30} & +  4.00 y_{31} & +  8.00 y_{32} & +  9.00 y_{33}\\
 y_{7}   &  1.0 & -10.00 y_{17} & -3.00 y_{18} & +  4.00 y_{19} & +  9.00 y_{20} & -4.00 y_{21} & +  6.00 y_{22} & +  3.00 y_{23} & +  3.00 y_{24} & -1.00 y_{25} & +  9.00 y_{26} & -5.00 y_{27} & -2.00 y_{28} & -2.00 y_{29} & -4.00 y_{30} & -6.00 y_{31} & -4.00 y_{32} & +  7.00 y_{33}\\
 y_{8}   &  1.0 & -8.00 y_{17} & +  3.00 y_{18} & -8.00 y_{19} & +  3.00 y_{20} & -8.00 y_{21} & -1.00 y_{22} & +  2.00 y_{23} & +  4.00 y_{24} & -2.00 y_{25} & +  5.00 y_{26} & -7.00 y_{27} & +  7.00 y_{28} & +  8.00 y_{29} & + 10.00 y_{30} & -5.00 y_{31} & +  9.00 y_{32} &   \\
 y_{9}   &  1.0 & -1.00 y_{17} & -6.00 y_{18} & -3.00 y_{19} & -3.00 y_{20} & -4.00 y_{21} & -4.00 y_{22} & -8.00 y_{23} & -7.00 y_{24} &   & -8.00 y_{26} & +  9.00 y_{27} & +  1.00 y_{28} & -10.00 y_{29} & -3.00 y_{30} & +  9.00 y_{31} & -1.00 y_{32} & +  5.00 y_{33}\\
 y_{10}   &  1.0 & + 10.00 y_{17} & +  3.00 y_{18} & +  9.00 y_{19} & -7.00 y_{20} & +  5.00 y_{21} & +  6.00 y_{22} & +  8.00 y_{23} &    &   & -2.00 y_{26} & -7.00 y_{27} & -6.00 y_{28} & +  4.00 y_{29} &   & +  1.00 y_{31} & +  5.00 y_{32} & -10.00 y_{33}\\
 y_{11}   &  1.0 & +  2.00 y_{17} & -4.00 y_{18} & +  7.00 y_{19} &   & -1.00 y_{21} & -4.00 y_{22} & +  1.00 y_{23} & +  4.00 y_{24} & +  4.00 y_{25} & +  8.00 y_{26} & -5.00 y_{27} & -7.00 y_{28} & -5.00 y_{29} & -10.00 y_{30} & +  2.00 y_{31} & -2.00 y_{32} & -8.00 y_{33}\\
 y_{12}   &  1.0 & +  9.00 y_{17} & +  7.00 y_{18} & + 10.00 y_{19} & +  6.00 y_{20} & -9.00 y_{21} & -1.00 y_{22} & -7.00 y_{23} & -3.00 y_{24} & -2.00 y_{25} & +  3.00 y_{26} & +  6.00 y_{27} & +  7.00 y_{28} & + 10.00 y_{29} & -4.00 y_{30} & + 10.00 y_{31} & -7.00 y_{32} & +  9.00 y_{33}\\
 y_{13}   &  1.0 & + 10.00 y_{17} & -8.00 y_{18} & +  2.00 y_{19} & +  5.00 y_{20} & +  9.00 y_{21} & -10.00 y_{22} & -10.00 y_{23} & -9.00 y_{24} & -2.00 y_{25} & -9.00 y_{26} & -4.00 y_{27} & + 10.00 y_{28} & +  5.00 y_{29} & +  4.00 y_{30} & -7.00 y_{31} & -6.00 y_{32} & -5.00 y_{33}\\
 y_{14}   &  1.0 & +  4.00 y_{17} & -8.00 y_{18} & +  5.00 y_{19} & +  5.00 y_{20} &   & +  4.00 y_{22} & -1.00 y_{23} & -2.00 y_{24} & +  8.00 y_{25} & +  8.00 y_{26} & -8.00 y_{27} & -10.00 y_{28} & -2.00 y_{29} & +  1.00 y_{30} & +  7.00 y_{31} & -6.00 y_{32} & +  1.00 y_{33}\\
 y_{15}   &  1.0 & -4.00 y_{17} & -9.00 y_{18} & -1.00 y_{19} & + 10.00 y_{20} & -5.00 y_{21} & +  9.00 y_{22} & + 10.00 y_{23} & + 10.00 y_{24} & +  9.00 y_{25} & -9.00 y_{26} & +  5.00 y_{27} & -4.00 y_{28} & -6.00 y_{29} & +  1.00 y_{30} & -7.00 y_{31} & -9.00 y_{32} & +  9.00 y_{33}\\
 y_{16}   &  1.0 & -5.00 y_{17} & +  3.00 y_{18} & -9.00 y_{19} & -10.00 y_{20} & -2.00 y_{21} & +  1.00 y_{22} & +  5.00 y_{23} & -4.00 y_{24} & -10.00 y_{25} & +  2.00 y_{26} &   & -6.00 y_{28} & -3.00 y_{29} & -1.00 y_{30} & +  5.00 y_{31} & -8.00 y_{32} & +  1.00 y_{33}\\
\hline
z    &  -0 & -14.00 y_{17} & +  2.00 y_{18} & -70.00 y_{19} & -23.00 y_{20} & + 12.00 y_{21} & +  8.00 y_{22} & + 10.00 y_{23} & -56.00 y_{24} &   & -74.00 y_{26} &   & -7.00 y_{28} & -43.00 y_{29} & + 17.00 y_{30} & -35.00 y_{31} & + 31.00 y_{32} & -45.00 y_{33}\\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 38 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{4}   &  0.386321334449 & +  0.76 y_{16} & +  7.73 y_{27} & + 29.94 y_{19} & +  9.27 y_{20} & +  3.35 y_{21} & -0.32 y_{25} & -1.08 y_{12} & + 21.63 y_{24} & -0.72 y_{11} & +  7.88 y_{26} & +  0.02 y_{14} & +  8.19 y_{17} & +  2.70 y_{29} & +  0.94 y_{1} & + 10.11 y_{31} & +  0.69 y_{13} & +  6.47 y_{33}\\
 y_{32}   &  0.125461280794 & -0.08 y_{16} & -0.13 y_{27} & -0.81 y_{19} & -0.69 y_{20} & -0.24 y_{21} & -0.69 y_{25} & -0.01 y_{12} & -0.77 y_{24} & +  0.02 y_{11} & +  0.14 y_{26} & -0.02 y_{14} & -0.03 y_{17} & +  0.27 y_{29} & -0.03 y_{1} & +  0.37 y_{31} & -0.02 y_{13} & +  0.13 y_{33}\\
 y_{23}   &  0.0298700254399 & +  0.10 y_{16} & +  0.16 y_{27} & +  2.67 y_{19} & +  2.18 y_{20} & -0.21 y_{21} & +  1.12 y_{25} & -0.10 y_{12} & +  0.35 y_{24} & -0.02 y_{11} & +  0.34 y_{26} & -0.06 y_{14} & +  1.52 y_{17} & +  0.48 y_{29} & +  0.06 y_{1} & +  1.02 y_{31} & -0.00 y_{13} & +  0.90 y_{33}\\
 y_{6}   &  1.2707790196 & -0.98 y_{16} & +  2.47 y_{27} & -22.55 y_{19} & -9.01 y_{20} & +  9.89 y_{21} & -19.96 y_{25} & +  0.64 y_{12} & -12.59 y_{24} & +  1.26 y_{11} & -0.74 y_{26} & +  0.02 y_{14} & -12.96 y_{17} & +  9.30 y_{29} & -0.84 y_{1} & -2.77 y_{31} & -0.38 y_{13} & +  9.95 y_{33}\\
 y_{18}   &  0.0119107214231 & +  0.01 y_{16} & -0.82 y_{27} & -0.73 y_{19} & -0.33 y_{20} & +  0.29 y_{21} & +  0.65 y_{25} & +  0.07 y_{12} & -0.25 y_{24} & +  0.01 y_{11} & +  0.22 y_{26} & -0.03 y_{14} & -0.13 y_{17} & -0.04 y_{29} & -0.06 y_{1} & -0.68 y_{31} & -0.02 y_{13} & -0.81 y_{33}\\
 y_{8}   &  2.80495025933 & -0.08 y_{16} & -11.96 y_{27} & +  1.33 y_{19} & +  5.73 y_{20} & -16.50 y_{21} & +  4.57 y_{25} & -0.44 y_{12} & +  3.86 y_{24} & -0.61 y_{11} & + 19.34 y_{26} & -0.59 y_{14} & -1.76 y_{17} & +  9.61 y_{29} & -0.25 y_{1} & +  6.35 y_{31} & +  0.17 y_{13} & -0.13 y_{33}\\
 y_{7}   &  0.511719941757 & +  0.20 y_{16} & -0.58 y_{27} & + 13.98 y_{19} & + 17.04 y_{20} & +  3.81 y_{21} & -5.30 y_{25} & -0.35 y_{12} & +  5.58 y_{24} & -0.26 y_{11} & -0.77 y_{26} & +  0.42 y_{14} & -5.92 y_{17} & -4.99 y_{29} & +  0.85 y_{1} & -8.37 y_{31} & -0.36 y_{13} & +  8.25 y_{33}\\
 y_{22}   &  0.0301956122254 & -0.04 y_{16} & +  0.06 y_{27} & +  0.15 y_{19} & -0.14 y_{20} & +  0.97 y_{21} & -0.94 y_{25} & +  0.00 y_{12} & +  0.01 y_{24} & -0.06 y_{11} & -0.91 y_{26} & +  0.07 y_{14} & +  0.04 y_{17} & -0.65 y_{29} & +  0.06 y_{1} & -0.60 y_{31} & -0.06 y_{13} & -0.69 y_{33}\\
 y_{28}   &  0.0284029140411 & +  0.01 y_{16} & -0.07 y_{27} & +  1.40 y_{19} & +  0.90 y_{20} & +  0.25 y_{21} & +  0.26 y_{25} & -0.04 y_{12} & +  0.46 y_{24} & -0.05 y_{11} & +  0.23 y_{26} & -0.03 y_{14} & +  0.40 y_{17} & -0.62 y_{29} & +  0.08 y_{1} & +  0.70 y_{31} & +  0.00 y_{13} & +  0.27 y_{33}\\
 y_{10}   &  1.91275496086 & +  0.12 y_{16} & -8.06 y_{27} & + 16.63 y_{19} & -0.21 y_{20} & +  7.31 y_{21} & +  0.29 y_{25} & -0.37 y_{12} & -4.48 y_{24} & -0.15 y_{11} & -4.71 y_{26} & -0.07 y_{14} & + 19.49 y_{17} & +  8.89 y_{29} & +  0.09 y_{1} & +  1.19 y_{31} & -0.53 y_{13} & -10.34 y_{33}\\
 y_{3}   &  0.285100502255 & -0.54 y_{16} & -2.15 y_{27} & -18.68 y_{19} & -6.19 y_{20} & -2.86 y_{21} & -3.53 y_{25} & +  0.44 y_{12} & +  4.02 y_{24} & +  1.16 y_{11} & -5.56 y_{26} & -0.04 y_{14} & -5.84 y_{17} & -4.73 y_{29} & -0.59 y_{1} & -0.76 y_{31} & +  0.28 y_{13} & +  9.59 y_{33}\\
 y_{15}   &  0.261671261408 & +  1.15 y_{16} & + 15.90 y_{27} & + 35.61 y_{19} & + 36.15 y_{20} & -0.54 y_{21} & + 11.65 y_{25} & -1.43 y_{12} & + 21.22 y_{24} & -0.93 y_{11} & -17.00 y_{26} & +  0.57 y_{14} & + 11.51 y_{17} & -6.45 y_{29} & +  1.58 y_{1} & -1.96 y_{31} & -0.20 y_{13} & + 16.51 y_{33}\\
 y_{2}   &  1.27736446563 & +  0.27 y_{16} & -1.37 y_{27} & -1.40 y_{19} & -7.81 y_{20} & -14.75 y_{21} & + 23.46 y_{25} & +  0.59 y_{12} & -4.62 y_{24} & +  0.36 y_{11} & + 20.55 y_{26} & -0.79 y_{14} & +  1.85 y_{17} & + 11.90 y_{29} & -1.24 y_{1} & + 10.27 y_{31} & +  0.53 y_{13} & +  7.06 y_{33}\\
 y_{9}   &  0.348224132997 & -0.69 y_{16} & + 12.76 y_{27} & -19.51 y_{19} & -16.08 y_{20} & -5.20 y_{21} & -9.94 y_{25} & +  0.38 y_{12} & -8.20 y_{24} & +  0.48 y_{11} & -11.10 y_{26} & +  0.37 y_{14} & -12.46 y_{17} & -12.51 y_{29} & -0.16 y_{1} & +  6.90 y_{31} & +  0.26 y_{13} & +  6.55 y_{33}\\
 y_{5}   &  0.439820052204 & -0.61 y_{16} & -2.67 y_{27} & -14.74 y_{19} & -9.57 y_{20} & + 20.53 y_{21} & -17.47 y_{25} & +  1.08 y_{12} & +  8.93 y_{24} & -0.70 y_{11} & -13.05 y_{26} & +  0.94 y_{14} & -18.58 y_{17} & -6.03 y_{29} & +  0.30 y_{1} & -21.03 y_{31} & -0.45 y_{13} & -19.95 y_{33}\\
 y_{30}   &  0.0411701730971 & +  0.03 y_{16} & -0.11 y_{27} & +  0.38 y_{19} & -0.09 y_{20} & -0.75 y_{21} & +  0.58 y_{25} & -0.01 y_{12} & +  0.36 y_{24} & -0.05 y_{11} & +  0.92 y_{26} & +  0.01 y_{14} & +  0.11 y_{17} & +  0.20 y_{29} & -0.04 y_{1} & +  0.25 y_{31} & +  0.03 y_{13} & -0.33 y_{33}\\
\hline
z    &  4.95445884402 & -1.37 y_{16} & -5.07 y_{27} & -71.92 y_{19} & -32.11 y_{20} & -3.83 y_{21} & -8.33 y_{25} & -0.90 y_{12} & -73.81 y_{24} & -0.59 y_{11} & -58.96 y_{26} & -0.34 y_{14} & -0.55 y_{17} & -27.36 y_{29} & -1.13 y_{1} & -20.08 y_{31} & -0.63 y_{13} & -46.50 y_{33}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  1.37091508807 & -0.76 x_{4} & +  0.08 x_{32} & -0.10 x_{23} & +  0.98 x_{6} & -0.01 x_{18} & +  0.08 x_{8} & -0.20 x_{7} & +  0.04 x_{22} & -0.01 x_{28} & -0.12 x_{10} & +  0.54 x_{3} & -1.15 x_{15} & -0.27 x_{2} & +  0.69 x_{9} & +  0.61 x_{5} & -0.03 x_{30}\\
 x_{27}   &  5.06571886488 & -7.73 x_{4} & +  0.13 x_{32} & -0.16 x_{23} & -2.47 x_{6} & +  0.82 x_{18} & + 11.96 x_{8} & +  0.58 x_{7} & -0.06 x_{22} & +  0.07 x_{28} & +  8.06 x_{10} & +  2.15 x_{3} & -15.90 x_{15} & +  1.37 x_{2} & -12.76 x_{9} & +  2.67 x_{5} & +  0.11 x_{30}\\
 x_{19}   &  71.9180459432 & -29.94 x_{4} & +  0.81 x_{32} & -2.67 x_{23} & + 22.55 x_{6} & +  0.73 x_{18} & -1.33 x_{8} & -13.98 x_{7} & -0.15 x_{22} & -1.40 x_{28} & -16.63 x_{10} & + 18.68 x_{3} & -35.61 x_{15} & +  1.40 x_{2} & + 19.51 x_{9} & + 14.74 x_{5} & -0.38 x_{30}\\
 x_{20}   &  32.1091984968 & -9.27 x_{4} & +  0.69 x_{32} & -2.18 x_{23} & +  9.01 x_{6} & +  0.33 x_{18} & -5.73 x_{8} & -17.04 x_{7} & +  0.14 x_{22} & -0.90 x_{28} & +  0.21 x_{10} & +  6.19 x_{3} & -36.15 x_{15} & +  7.81 x_{2} & + 16.08 x_{9} & +  9.57 x_{5} & +  0.09 x_{30}\\
 x_{21}   &  3.82583235513 & -3.35 x_{4} & +  0.24 x_{32} & +  0.21 x_{23} & -9.89 x_{6} & -0.29 x_{18} & + 16.50 x_{8} & -3.81 x_{7} & -0.97 x_{22} & -0.25 x_{28} & -7.31 x_{10} & +  2.86 x_{3} & +  0.54 x_{15} & + 14.75 x_{2} & +  5.20 x_{9} & -20.53 x_{5} & +  0.75 x_{30}\\
 x_{25}   &  8.32647603941 & +  0.32 x_{4} & +  0.69 x_{32} & -1.12 x_{23} & + 19.96 x_{6} & -0.65 x_{18} & -4.57 x_{8} & +  5.30 x_{7} & +  0.94 x_{22} & -0.26 x_{28} & -0.29 x_{10} & +  3.53 x_{3} & -11.65 x_{15} & -23.46 x_{2} & +  9.94 x_{9} & + 17.47 x_{5} & -0.58 x_{30}\\
 x_{12}   &  0.895760197843 & +  1.08 x_{4} & +  0.01 x_{32} & +  0.10 x_{23} & -0.64 x_{6} & -0.07 x_{18} & +  0.44 x_{8} & +  0.35 x_{7} & -0.00 x_{22} & +  0.04 x_{28} & +  0.37 x_{10} & -0.44 x_{3} & +  1.43 x_{15} & -0.59 x_{2} & -0.38 x_{9} & -1.08 x_{5} & +  0.01 x_{30}\\
 x_{24}   &  73.8116988929 & -21.63 x_{4} & +  0.77 x_{32} & -0.35 x_{23} & + 12.59 x_{6} & +  0.25 x_{18} & -3.86 x_{8} & -5.58 x_{7} & -0.01 x_{22} & -0.46 x_{28} & +  4.48 x_{10} & -4.02 x_{3} & -21.22 x_{15} & +  4.62 x_{2} & +  8.20 x_{9} & -8.93 x_{5} & -0.36 x_{30}\\
 x_{11}   &  0.591085859522 & +  0.72 x_{4} & -0.02 x_{32} & +  0.02 x_{23} & -1.26 x_{6} & -0.01 x_{18} & +  0.61 x_{8} & +  0.26 x_{7} & +  0.06 x_{22} & +  0.05 x_{28} & +  0.15 x_{10} & -1.16 x_{3} & +  0.93 x_{15} & -0.36 x_{2} & -0.48 x_{9} & +  0.70 x_{5} & +  0.05 x_{30}\\
 x_{26}   &  58.9633884361 & -7.88 x_{4} & -0.14 x_{32} & -0.34 x_{23} & +  0.74 x_{6} & -0.22 x_{18} & -19.34 x_{8} & +  0.77 x_{7} & +  0.91 x_{22} & -0.23 x_{28} & +  4.71 x_{10} & +  5.56 x_{3} & + 17.00 x_{15} & -20.55 x_{2} & + 11.10 x_{9} & + 13.05 x_{5} & -0.92 x_{30}\\
 x_{14}   &  0.337419854802 & -0.02 x_{4} & +  0.02 x_{32} & +  0.06 x_{23} & -0.02 x_{6} & +  0.03 x_{18} & +  0.59 x_{8} & -0.42 x_{7} & -0.07 x_{22} & +  0.03 x_{28} & +  0.07 x_{10} & +  0.04 x_{3} & -0.57 x_{15} & +  0.79 x_{2} & -0.37 x_{9} & -0.94 x_{5} & -0.01 x_{30}\\
 x_{17}   &  0.548772190947 & -8.19 x_{4} & +  0.03 x_{32} & -1.52 x_{23} & + 12.96 x_{6} & +  0.13 x_{18} & +  1.76 x_{8} & +  5.92 x_{7} & -0.04 x_{22} & -0.40 x_{28} & -19.49 x_{10} & +  5.84 x_{3} & -11.51 x_{15} & -1.85 x_{2} & + 12.46 x_{9} & + 18.58 x_{5} & -0.11 x_{30}\\
 x_{29}   &  27.3599744261 & -2.70 x_{4} & -0.27 x_{32} & -0.48 x_{23} & -9.30 x_{6} & +  0.04 x_{18} & -9.61 x_{8} & +  4.99 x_{7} & +  0.65 x_{22} & +  0.62 x_{28} & -8.89 x_{10} & +  4.73 x_{3} & +  6.45 x_{15} & -11.90 x_{2} & + 12.51 x_{9} & +  6.03 x_{5} & -0.20 x_{30}\\
 x_{1}   &  1.12580972961 & -0.94 x_{4} & +  0.03 x_{32} & -0.06 x_{23} & +  0.84 x_{6} & +  0.06 x_{18} & +  0.25 x_{8} & -0.85 x_{7} & -0.06 x_{22} & -0.08 x_{28} & -0.09 x_{10} & +  0.59 x_{3} & -1.58 x_{15} & +  1.24 x_{2} & +  0.16 x_{9} & -0.30 x_{5} & +  0.04 x_{30}\\
 x_{31}   &  20.0779886778 & -10.11 x_{4} & -0.37 x_{32} & -1.02 x_{23} & +  2.77 x_{6} & +  0.68 x_{18} & -6.35 x_{8} & +  8.37 x_{7} & +  0.60 x_{22} & -0.70 x_{28} & -1.19 x_{10} & +  0.76 x_{3} & +  1.96 x_{15} & -10.27 x_{2} & -6.90 x_{9} & + 21.03 x_{5} & -0.25 x_{30}\\
 x_{13}   &  0.633468114175 & -0.69 x_{4} & +  0.02 x_{32} & +  0.00 x_{23} & +  0.38 x_{6} & +  0.02 x_{18} & -0.17 x_{8} & +  0.36 x_{7} & +  0.06 x_{22} & -0.00 x_{28} & +  0.53 x_{10} & -0.28 x_{3} & +  0.20 x_{15} & -0.53 x_{2} & -0.26 x_{9} & +  0.45 x_{5} & -0.03 x_{30}\\
 x_{33}   &  46.5032799124 & -6.47 x_{4} & -0.13 x_{32} & -0.90 x_{23} & -9.95 x_{6} & +  0.81 x_{18} & +  0.13 x_{8} & -8.25 x_{7} & +  0.69 x_{22} & -0.27 x_{28} & + 10.34 x_{10} & -9.59 x_{3} & -16.51 x_{15} & -7.06 x_{2} & -6.55 x_{9} & + 19.95 x_{5} & +  0.33 x_{30}\\
\hline
z    &  -4.95445884402 & -0.39 x_{4} & -0.13 x_{32} & -0.03 x_{23} & -1.27 x_{6} & -0.01 x_{18} & -2.80 x_{8} & -0.51 x_{7} & -0.03 x_{22} & -0.03 x_{28} & -1.91 x_{10} & -0.29 x_{3} & -0.26 x_{15} & -1.28 x_{2} & -0.35 x_{9} & -0.44 x_{5} & -0.04 x_{30}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  1.37091508807 & -0.76 x_{4} & +  0.08 x_{32} & -0.10 x_{23} & +  0.98 x_{6} & -0.01 x_{18} & +  0.08 x_{8} & -0.20 x_{7} & +  0.04 x_{22} & -0.01 x_{28} & -0.12 x_{10} & +  0.54 x_{3} & -1.15 x_{15} & -0.27 x_{2} & +  0.69 x_{9} & +  0.61 x_{5} & -0.03 x_{30}\\
 x_{27}   &  5.06571886488 & -7.73 x_{4} & +  0.13 x_{32} & -0.16 x_{23} & -2.47 x_{6} & +  0.82 x_{18} & + 11.96 x_{8} & +  0.58 x_{7} & -0.06 x_{22} & +  0.07 x_{28} & +  8.06 x_{10} & +  2.15 x_{3} & -15.90 x_{15} & +  1.37 x_{2} & -12.76 x_{9} & +  2.67 x_{5} & +  0.11 x_{30}\\
 x_{19}   &  71.9180459432 & -29.94 x_{4} & +  0.81 x_{32} & -2.67 x_{23} & + 22.55 x_{6} & +  0.73 x_{18} & -1.33 x_{8} & -13.98 x_{7} & -0.15 x_{22} & -1.40 x_{28} & -16.63 x_{10} & + 18.68 x_{3} & -35.61 x_{15} & +  1.40 x_{2} & + 19.51 x_{9} & + 14.74 x_{5} & -0.38 x_{30}\\
 x_{20}   &  32.1091984968 & -9.27 x_{4} & +  0.69 x_{32} & -2.18 x_{23} & +  9.01 x_{6} & +  0.33 x_{18} & -5.73 x_{8} & -17.04 x_{7} & +  0.14 x_{22} & -0.90 x_{28} & +  0.21 x_{10} & +  6.19 x_{3} & -36.15 x_{15} & +  7.81 x_{2} & + 16.08 x_{9} & +  9.57 x_{5} & +  0.09 x_{30}\\
 x_{21}   &  3.82583235513 & -3.35 x_{4} & +  0.24 x_{32} & +  0.21 x_{23} & -9.89 x_{6} & -0.29 x_{18} & + 16.50 x_{8} & -3.81 x_{7} & -0.97 x_{22} & -0.25 x_{28} & -7.31 x_{10} & +  2.86 x_{3} & +  0.54 x_{15} & + 14.75 x_{2} & +  5.20 x_{9} & -20.53 x_{5} & +  0.75 x_{30}\\
 x_{25}   &  8.32647603941 & +  0.32 x_{4} & +  0.69 x_{32} & -1.12 x_{23} & + 19.96 x_{6} & -0.65 x_{18} & -4.57 x_{8} & +  5.30 x_{7} & +  0.94 x_{22} & -0.26 x_{28} & -0.29 x_{10} & +  3.53 x_{3} & -11.65 x_{15} & -23.46 x_{2} & +  9.94 x_{9} & + 17.47 x_{5} & -0.58 x_{30}\\
 x_{12}   &  0.895760197843 & +  1.08 x_{4} & +  0.01 x_{32} & +  0.10 x_{23} & -0.64 x_{6} & -0.07 x_{18} & +  0.44 x_{8} & +  0.35 x_{7} & -0.00 x_{22} & +  0.04 x_{28} & +  0.37 x_{10} & -0.44 x_{3} & +  1.43 x_{15} & -0.59 x_{2} & -0.38 x_{9} & -1.08 x_{5} & +  0.01 x_{30}\\
 x_{24}   &  73.8116988929 & -21.63 x_{4} & +  0.77 x_{32} & -0.35 x_{23} & + 12.59 x_{6} & +  0.25 x_{18} & -3.86 x_{8} & -5.58 x_{7} & -0.01 x_{22} & -0.46 x_{28} & +  4.48 x_{10} & -4.02 x_{3} & -21.22 x_{15} & +  4.62 x_{2} & +  8.20 x_{9} & -8.93 x_{5} & -0.36 x_{30}\\
 x_{11}   &  0.591085859522 & +  0.72 x_{4} & -0.02 x_{32} & +  0.02 x_{23} & -1.26 x_{6} & -0.01 x_{18} & +  0.61 x_{8} & +  0.26 x_{7} & +  0.06 x_{22} & +  0.05 x_{28} & +  0.15 x_{10} & -1.16 x_{3} & +  0.93 x_{15} & -0.36 x_{2} & -0.48 x_{9} & +  0.70 x_{5} & +  0.05 x_{30}\\
 x_{26}   &  58.9633884361 & -7.88 x_{4} & -0.14 x_{32} & -0.34 x_{23} & +  0.74 x_{6} & -0.22 x_{18} & -19.34 x_{8} & +  0.77 x_{7} & +  0.91 x_{22} & -0.23 x_{28} & +  4.71 x_{10} & +  5.56 x_{3} & + 17.00 x_{15} & -20.55 x_{2} & + 11.10 x_{9} & + 13.05 x_{5} & -0.92 x_{30}\\
 x_{14}   &  0.337419854802 & -0.02 x_{4} & +  0.02 x_{32} & +  0.06 x_{23} & -0.02 x_{6} & +  0.03 x_{18} & +  0.59 x_{8} & -0.42 x_{7} & -0.07 x_{22} & +  0.03 x_{28} & +  0.07 x_{10} & +  0.04 x_{3} & -0.57 x_{15} & +  0.79 x_{2} & -0.37 x_{9} & -0.94 x_{5} & -0.01 x_{30}\\
 x_{17}   &  0.548772190947 & -8.19 x_{4} & +  0.03 x_{32} & -1.52 x_{23} & + 12.96 x_{6} & +  0.13 x_{18} & +  1.76 x_{8} & +  5.92 x_{7} & -0.04 x_{22} & -0.40 x_{28} & -19.49 x_{10} & +  5.84 x_{3} & -11.51 x_{15} & -1.85 x_{2} & + 12.46 x_{9} & + 18.58 x_{5} & -0.11 x_{30}\\
 x_{29}   &  27.3599744261 & -2.70 x_{4} & -0.27 x_{32} & -0.48 x_{23} & -9.30 x_{6} & +  0.04 x_{18} & -9.61 x_{8} & +  4.99 x_{7} & +  0.65 x_{22} & +  0.62 x_{28} & -8.89 x_{10} & +  4.73 x_{3} & +  6.45 x_{15} & -11.90 x_{2} & + 12.51 x_{9} & +  6.03 x_{5} & -0.20 x_{30}\\
 x_{1}   &  1.12580972961 & -0.94 x_{4} & +  0.03 x_{32} & -0.06 x_{23} & +  0.84 x_{6} & +  0.06 x_{18} & +  0.25 x_{8} & -0.85 x_{7} & -0.06 x_{22} & -0.08 x_{28} & -0.09 x_{10} & +  0.59 x_{3} & -1.58 x_{15} & +  1.24 x_{2} & +  0.16 x_{9} & -0.30 x_{5} & +  0.04 x_{30}\\
 x_{31}   &  20.0779886778 & -10.11 x_{4} & -0.37 x_{32} & -1.02 x_{23} & +  2.77 x_{6} & +  0.68 x_{18} & -6.35 x_{8} & +  8.37 x_{7} & +  0.60 x_{22} & -0.70 x_{28} & -1.19 x_{10} & +  0.76 x_{3} & +  1.96 x_{15} & -10.27 x_{2} & -6.90 x_{9} & + 21.03 x_{5} & -0.25 x_{30}\\
 x_{13}   &  0.633468114175 & -0.69 x_{4} & +  0.02 x_{32} & +  0.00 x_{23} & +  0.38 x_{6} & +  0.02 x_{18} & -0.17 x_{8} & +  0.36 x_{7} & +  0.06 x_{22} & -0.00 x_{28} & +  0.53 x_{10} & -0.28 x_{3} & +  0.20 x_{15} & -0.53 x_{2} & -0.26 x_{9} & +  0.45 x_{5} & -0.03 x_{30}\\
 x_{33}   &  46.5032799124 & -6.47 x_{4} & -0.13 x_{32} & -0.90 x_{23} & -9.95 x_{6} & +  0.81 x_{18} & +  0.13 x_{8} & -8.25 x_{7} & +  0.69 x_{22} & -0.27 x_{28} & + 10.34 x_{10} & -9.59 x_{3} & -16.51 x_{15} & -7.06 x_{2} & -6.55 x_{9} & + 19.95 x_{5} & +  0.33 x_{30}\\
\hline
z    &  -2.07839704087 & -6.26 x_{4} & -0.21 x_{32} & +  0.19 x_{23} & -1.22 x_{6} & +  0.12 x_{18} & +  0.54 x_{8} & +  0.50 x_{7} & -0.31 x_{22} & -0.40 x_{28} & +  2.36 x_{10} & -0.38 x_{3} & +  0.66 x_{15} & -2.22 x_{2} & +  1.44 x_{9} & +  0.18 x_{5} & +  0.12 x_{30}\\
\end{array}\]
\section{Optimization Phase Simplex}
Starting Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  1.37091508807 & -0.76 x_{4} & +  0.08 x_{32} & -0.10 x_{23} & +  0.98 x_{6} & -0.01 x_{18} & +  0.08 x_{8} & -0.20 x_{7} & +  0.04 x_{22} & -0.01 x_{28} & -0.12 x_{10} & +  0.54 x_{3} & -1.15 x_{15} & -0.27 x_{2} & +  0.69 x_{9} & +  0.61 x_{5} & -0.03 x_{30}\\
 x_{27}   &  5.06571886488 & -7.73 x_{4} & +  0.13 x_{32} & -0.16 x_{23} & -2.47 x_{6} & +  0.82 x_{18} & + 11.96 x_{8} & +  0.58 x_{7} & -0.06 x_{22} & +  0.07 x_{28} & +  8.06 x_{10} & +  2.15 x_{3} & -15.90 x_{15} & +  1.37 x_{2} & -12.76 x_{9} & +  2.67 x_{5} & +  0.11 x_{30}\\
 x_{19}   &  71.9180459432 & -29.94 x_{4} & +  0.81 x_{32} & -2.67 x_{23} & + 22.55 x_{6} & +  0.73 x_{18} & -1.33 x_{8} & -13.98 x_{7} & -0.15 x_{22} & -1.40 x_{28} & -16.63 x_{10} & + 18.68 x_{3} & -35.61 x_{15} & +  1.40 x_{2} & + 19.51 x_{9} & + 14.74 x_{5} & -0.38 x_{30}\\
 x_{20}   &  32.1091984968 & -9.27 x_{4} & +  0.69 x_{32} & -2.18 x_{23} & +  9.01 x_{6} & +  0.33 x_{18} & -5.73 x_{8} & -17.04 x_{7} & +  0.14 x_{22} & -0.90 x_{28} & +  0.21 x_{10} & +  6.19 x_{3} & -36.15 x_{15} & +  7.81 x_{2} & + 16.08 x_{9} & +  9.57 x_{5} & +  0.09 x_{30}\\
 x_{21}   &  3.82583235513 & -3.35 x_{4} & +  0.24 x_{32} & +  0.21 x_{23} & -9.89 x_{6} & -0.29 x_{18} & + 16.50 x_{8} & -3.81 x_{7} & -0.97 x_{22} & -0.25 x_{28} & -7.31 x_{10} & +  2.86 x_{3} & +  0.54 x_{15} & + 14.75 x_{2} & +  5.20 x_{9} & -20.53 x_{5} & +  0.75 x_{30}\\
 x_{25}   &  8.32647603941 & +  0.32 x_{4} & +  0.69 x_{32} & -1.12 x_{23} & + 19.96 x_{6} & -0.65 x_{18} & -4.57 x_{8} & +  5.30 x_{7} & +  0.94 x_{22} & -0.26 x_{28} & -0.29 x_{10} & +  3.53 x_{3} & -11.65 x_{15} & -23.46 x_{2} & +  9.94 x_{9} & + 17.47 x_{5} & -0.58 x_{30}\\
 x_{12}   &  0.895760197843 & +  1.08 x_{4} & +  0.01 x_{32} & +  0.10 x_{23} & -0.64 x_{6} & -0.07 x_{18} & +  0.44 x_{8} & +  0.35 x_{7} & -0.00 x_{22} & +  0.04 x_{28} & +  0.37 x_{10} & -0.44 x_{3} & +  1.43 x_{15} & -0.59 x_{2} & -0.38 x_{9} & -1.08 x_{5} & +  0.01 x_{30}\\
 x_{24}   &  73.8116988929 & -21.63 x_{4} & +  0.77 x_{32} & -0.35 x_{23} & + 12.59 x_{6} & +  0.25 x_{18} & -3.86 x_{8} & -5.58 x_{7} & -0.01 x_{22} & -0.46 x_{28} & +  4.48 x_{10} & -4.02 x_{3} & -21.22 x_{15} & +  4.62 x_{2} & +  8.20 x_{9} & -8.93 x_{5} & -0.36 x_{30}\\
 x_{11}   &  0.591085859522 & +  0.72 x_{4} & -0.02 x_{32} & +  0.02 x_{23} & -1.26 x_{6} & -0.01 x_{18} & +  0.61 x_{8} & +  0.26 x_{7} & +  0.06 x_{22} & +  0.05 x_{28} & +  0.15 x_{10} & -1.16 x_{3} & +  0.93 x_{15} & -0.36 x_{2} & -0.48 x_{9} & +  0.70 x_{5} & +  0.05 x_{30}\\
 x_{26}   &  58.9633884361 & -7.88 x_{4} & -0.14 x_{32} & -0.34 x_{23} & +  0.74 x_{6} & -0.22 x_{18} & -19.34 x_{8} & +  0.77 x_{7} & +  0.91 x_{22} & -0.23 x_{28} & +  4.71 x_{10} & +  5.56 x_{3} & + 17.00 x_{15} & -20.55 x_{2} & + 11.10 x_{9} & + 13.05 x_{5} & -0.92 x_{30}\\
 x_{14}   &  0.337419854802 & -0.02 x_{4} & +  0.02 x_{32} & +  0.06 x_{23} & -0.02 x_{6} & +  0.03 x_{18} & +  0.59 x_{8} & -0.42 x_{7} & -0.07 x_{22} & +  0.03 x_{28} & +  0.07 x_{10} & +  0.04 x_{3} & -0.57 x_{15} & +  0.79 x_{2} & -0.37 x_{9} & -0.94 x_{5} & -0.01 x_{30}\\
 x_{17}   &  0.548772190947 & -8.19 x_{4} & +  0.03 x_{32} & -1.52 x_{23} & + 12.96 x_{6} & +  0.13 x_{18} & +  1.76 x_{8} & +  5.92 x_{7} & -0.04 x_{22} & -0.40 x_{28} & -19.49 x_{10} & +  5.84 x_{3} & -11.51 x_{15} & -1.85 x_{2} & + 12.46 x_{9} & + 18.58 x_{5} & -0.11 x_{30}\\
 x_{29}   &  27.3599744261 & -2.70 x_{4} & -0.27 x_{32} & -0.48 x_{23} & -9.30 x_{6} & +  0.04 x_{18} & -9.61 x_{8} & +  4.99 x_{7} & +  0.65 x_{22} & +  0.62 x_{28} & -8.89 x_{10} & +  4.73 x_{3} & +  6.45 x_{15} & -11.90 x_{2} & + 12.51 x_{9} & +  6.03 x_{5} & -0.20 x_{30}\\
 x_{1}   &  1.12580972961 & -0.94 x_{4} & +  0.03 x_{32} & -0.06 x_{23} & +  0.84 x_{6} & +  0.06 x_{18} & +  0.25 x_{8} & -0.85 x_{7} & -0.06 x_{22} & -0.08 x_{28} & -0.09 x_{10} & +  0.59 x_{3} & -1.58 x_{15} & +  1.24 x_{2} & +  0.16 x_{9} & -0.30 x_{5} & +  0.04 x_{30}\\
 x_{31}   &  20.0779886778 & -10.11 x_{4} & -0.37 x_{32} & -1.02 x_{23} & +  2.77 x_{6} & +  0.68 x_{18} & -6.35 x_{8} & +  8.37 x_{7} & +  0.60 x_{22} & -0.70 x_{28} & -1.19 x_{10} & +  0.76 x_{3} & +  1.96 x_{15} & -10.27 x_{2} & -6.90 x_{9} & + 21.03 x_{5} & -0.25 x_{30}\\
 x_{13}   &  0.633468114175 & -0.69 x_{4} & +  0.02 x_{32} & +  0.00 x_{23} & +  0.38 x_{6} & +  0.02 x_{18} & -0.17 x_{8} & +  0.36 x_{7} & +  0.06 x_{22} & -0.00 x_{28} & +  0.53 x_{10} & -0.28 x_{3} & +  0.20 x_{15} & -0.53 x_{2} & -0.26 x_{9} & +  0.45 x_{5} & -0.03 x_{30}\\
 x_{33}   &  46.5032799124 & -6.47 x_{4} & -0.13 x_{32} & -0.90 x_{23} & -9.95 x_{6} & +  0.81 x_{18} & +  0.13 x_{8} & -8.25 x_{7} & +  0.69 x_{22} & -0.27 x_{28} & + 10.34 x_{10} & -9.59 x_{3} & -16.51 x_{15} & -7.06 x_{2} & -6.55 x_{9} & + 19.95 x_{5} & +  0.33 x_{30}\\
\hline
z    &  -2.07839704087 & -6.26 x_{4} & -0.21 x_{32} & +  0.19 x_{23} & -1.22 x_{6} & +  0.12 x_{18} & +  0.54 x_{8} & +  0.50 x_{7} & -0.31 x_{22} & -0.40 x_{28} & +  2.36 x_{10} & -0.38 x_{3} & +  0.66 x_{15} & -2.22 x_{2} & +  1.44 x_{9} & +  0.18 x_{5} & +  0.12 x_{30}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{21} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  1.48527128612 & -0.86 x_{4} & +  0.08 x_{32} & -0.09 x_{23} & +  0.68 x_{6} & -0.02 x_{18} & +  0.57 x_{8} & -0.31 x_{7} & +  0.01 x_{22} & -0.02 x_{28} & -0.34 x_{10} & +  0.62 x_{3} & -1.14 x_{15} & +  0.18 x_{2} & +  0.84 x_{9} & -0.03 x_{21} & -0.00 x_{30}\\
 x_{27}   &  5.56318126371 & -8.17 x_{4} & +  0.17 x_{32} & -0.13 x_{23} & -3.76 x_{6} & +  0.78 x_{18} & + 14.10 x_{8} & +  0.09 x_{7} & -0.19 x_{22} & +  0.03 x_{28} & +  7.11 x_{10} & +  2.52 x_{3} & -15.83 x_{15} & +  3.29 x_{2} & -12.08 x_{9} & -0.13 x_{21} & +  0.21 x_{30}\\
 x_{19}   &  74.6657106688 & -32.34 x_{4} & +  0.98 x_{32} & -2.51 x_{23} & + 15.45 x_{6} & +  0.52 x_{18} & + 10.51 x_{8} & -16.72 x_{7} & -0.85 x_{22} & -1.57 x_{28} & -21.87 x_{10} & + 20.74 x_{3} & -35.22 x_{15} & + 11.99 x_{2} & + 23.24 x_{9} & -0.72 x_{21} & +  0.16 x_{30}\\
 x_{20}   &  33.8920226839 & -10.83 x_{4} & +  0.81 x_{32} & -2.08 x_{23} & +  4.40 x_{6} & +  0.20 x_{18} & +  1.96 x_{8} & -18.81 x_{7} & -0.32 x_{22} & -1.02 x_{28} & -3.20 x_{10} & +  7.52 x_{3} & -35.89 x_{15} & + 14.69 x_{2} & + 18.50 x_{9} & -0.47 x_{21} & +  0.44 x_{30}\\
 x_{5}   &  0.186379281624 & -0.16 x_{4} & +  0.01 x_{32} & +  0.01 x_{23} & -0.48 x_{6} & -0.01 x_{18} & +  0.80 x_{8} & -0.19 x_{7} & -0.05 x_{22} & -0.01 x_{28} & -0.36 x_{10} & +  0.14 x_{3} & +  0.03 x_{15} & +  0.72 x_{2} & +  0.25 x_{9} & -0.05 x_{21} & +  0.04 x_{30}\\
 x_{25}   &  11.5820163327 & -2.53 x_{4} & +  0.90 x_{32} & -0.94 x_{23} & + 11.54 x_{6} & -0.90 x_{18} & +  9.47 x_{8} & +  2.06 x_{7} & +  0.11 x_{22} & -0.47 x_{28} & -6.51 x_{10} & +  5.96 x_{3} & -11.19 x_{15} & -10.91 x_{2} & + 14.36 x_{9} & -0.85 x_{21} & +  0.06 x_{30}\\
 x_{12}   &  0.694283724081 & +  1.26 x_{4} & -0.01 x_{32} & +  0.09 x_{23} & -0.12 x_{6} & -0.06 x_{18} & -0.43 x_{8} & +  0.55 x_{7} & +  0.05 x_{22} & +  0.06 x_{28} & +  0.75 x_{10} & -0.59 x_{3} & +  1.41 x_{15} & -1.37 x_{2} & -0.66 x_{9} & +  0.05 x_{21} & -0.03 x_{30}\\
 x_{24}   &  72.1482414084 & -20.17 x_{4} & +  0.66 x_{32} & -0.44 x_{23} & + 16.89 x_{6} & +  0.37 x_{18} & -11.03 x_{8} & -3.93 x_{7} & +  0.41 x_{22} & -0.36 x_{28} & +  7.65 x_{10} & -5.26 x_{3} & -21.46 x_{15} & -1.79 x_{2} & +  5.94 x_{9} & +  0.43 x_{21} & -0.68 x_{30}\\
 x_{11}   &  0.720854858168 & +  0.61 x_{4} & -0.01 x_{32} & +  0.03 x_{23} & -1.60 x_{6} & -0.02 x_{18} & +  1.17 x_{8} & +  0.13 x_{7} & +  0.03 x_{22} & +  0.04 x_{28} & -0.10 x_{10} & -1.07 x_{3} & +  0.94 x_{15} & +  0.14 x_{2} & -0.30 x_{9} & -0.03 x_{21} & +  0.08 x_{30}\\
 x_{26}   &  61.3959987115 & -10.01 x_{4} & +  0.01 x_{32} & -0.21 x_{23} & -5.55 x_{6} & -0.40 x_{18} & -8.85 x_{8} & -1.65 x_{7} & +  0.29 x_{22} & -0.39 x_{28} & +  0.06 x_{10} & +  7.38 x_{3} & + 17.35 x_{15} & -11.18 x_{2} & + 14.40 x_{9} & -0.64 x_{21} & -0.44 x_{30}\\
 x_{14}   &  0.163041334883 & +  0.13 x_{4} & +  0.01 x_{32} & +  0.05 x_{23} & +  0.43 x_{6} & +  0.04 x_{18} & -0.16 x_{8} & -0.24 x_{7} & -0.02 x_{22} & +  0.04 x_{28} & +  0.40 x_{10} & -0.09 x_{3} & -0.60 x_{15} & +  0.11 x_{2} & -0.60 x_{9} & +  0.05 x_{21} & -0.04 x_{30}\\
 x_{17}   &  4.01168692773 & -11.23 x_{4} & +  0.25 x_{32} & -1.32 x_{23} & +  4.01 x_{6} & -0.14 x_{18} & + 16.69 x_{8} & +  2.47 x_{7} & -0.93 x_{22} & -0.62 x_{28} & -26.10 x_{10} & +  8.43 x_{3} & -11.02 x_{15} & + 11.50 x_{2} & + 17.17 x_{9} & -0.91 x_{21} & +  0.57 x_{30}\\
 x_{29}   &  28.4835392757 & -3.69 x_{4} & -0.20 x_{32} & -0.42 x_{23} & -12.21 x_{6} & -0.05 x_{18} & -4.76 x_{8} & +  3.87 x_{7} & +  0.36 x_{22} & +  0.55 x_{28} & -11.04 x_{10} & +  5.57 x_{3} & +  6.61 x_{15} & -7.57 x_{2} & + 14.04 x_{9} & -0.29 x_{21} & +  0.02 x_{30}\\
 x_{1}   &  1.06987444907 & -0.89 x_{4} & +  0.02 x_{32} & -0.06 x_{23} & +  0.98 x_{6} & +  0.06 x_{18} & +  0.01 x_{8} & -0.79 x_{7} & -0.05 x_{22} & -0.07 x_{28} & +  0.02 x_{10} & +  0.55 x_{3} & -1.58 x_{15} & +  1.03 x_{2} & +  0.08 x_{9} & +  0.01 x_{21} & +  0.03 x_{30}\\
 x_{31}   &  23.9967944643 & -13.54 x_{4} & -0.12 x_{32} & -0.80 x_{23} & -7.36 x_{6} & +  0.38 x_{18} & + 10.54 x_{8} & +  4.46 x_{7} & -0.40 x_{22} & -0.96 x_{28} & -8.67 x_{10} & +  3.69 x_{3} & +  2.52 x_{15} & +  4.83 x_{2} & -1.58 x_{9} & -1.02 x_{21} & +  0.52 x_{30}\\
 x_{13}   &  0.716727255445 & -0.76 x_{4} & +  0.03 x_{32} & +  0.01 x_{23} & +  0.16 x_{6} & +  0.01 x_{18} & +  0.19 x_{8} & +  0.28 x_{7} & +  0.04 x_{22} & -0.01 x_{28} & +  0.37 x_{10} & -0.22 x_{3} & +  0.21 x_{15} & -0.21 x_{2} & -0.15 x_{9} & -0.02 x_{21} & -0.01 x_{30}\\
 x_{33}   &  50.2223701969 & -9.73 x_{4} & +  0.10 x_{32} & -0.69 x_{23} & -19.56 x_{6} & +  0.53 x_{18} & + 16.16 x_{8} & -11.95 x_{7} & -0.26 x_{22} & -0.51 x_{28} & +  3.24 x_{10} & -6.81 x_{3} & -15.98 x_{15} & +  7.28 x_{2} & -1.50 x_{9} & -0.97 x_{21} & +  1.06 x_{30}\\
\hline
z    &  -2.04462884633 & -6.29 x_{4} & -0.21 x_{32} & +  0.19 x_{23} & -1.30 x_{6} & +  0.12 x_{18} & +  0.69 x_{8} & +  0.47 x_{7} & -0.32 x_{22} & -0.40 x_{28} & +  2.30 x_{10} & -0.35 x_{3} & +  0.66 x_{15} & -2.09 x_{2} & +  1.49 x_{9} & -0.01 x_{21} & +  0.13 x_{30}\\
\end{array}\]


 $ x_{7} $ enters and $ x_{14} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  1.27669297323 & -1.03 x_{4} & +  0.08 x_{32} & -0.15 x_{23} & +  0.13 x_{6} & -0.08 x_{18} & +  0.78 x_{8} & +  1.28 x_{14} & +  0.04 x_{22} & -0.08 x_{28} & -0.85 x_{10} & +  0.74 x_{3} & -0.37 x_{15} & +  0.03 x_{2} & +  1.61 x_{9} & -0.09 x_{21} & +  0.05 x_{30}\\
 x_{27}   &  5.62085434438 & -8.12 x_{4} & +  0.17 x_{32} & -0.12 x_{23} & -3.60 x_{6} & +  0.80 x_{18} & + 14.05 x_{8} & -0.35 x_{14} & -0.20 x_{22} & +  0.05 x_{28} & +  7.25 x_{10} & +  2.48 x_{3} & -16.04 x_{15} & +  3.33 x_{2} & -12.30 x_{9} & -0.11 x_{21} & +  0.19 x_{30}\\
 x_{19}   &  63.440921983 & -41.18 x_{4} & +  0.55 x_{32} & -5.90 x_{23} & -14.29 x_{6} & -2.56 x_{18} & + 21.48 x_{8} & + 68.85 x_{14} & +  0.59 x_{22} & -4.54 x_{28} & -49.63 x_{10} & + 27.23 x_{3} & +  5.79 x_{15} & +  4.08 x_{2} & + 64.70 x_{9} & -3.86 x_{21} & +  2.96 x_{30}\\
 x_{20}   &  21.2587786528 & -20.78 x_{4} & +  0.32 x_{32} & -5.90 x_{23} & -29.07 x_{6} & -3.27 x_{18} & + 14.30 x_{8} & + 77.48 x_{14} & +  1.30 x_{22} & -4.36 x_{28} & -34.44 x_{10} & + 14.83 x_{3} & + 10.26 x_{15} & +  5.78 x_{2} & + 65.16 x_{9} & -4.00 x_{21} & +  3.58 x_{30}\\
 x_{5}   &  0.0617733223093 & -0.26 x_{4} & +  0.01 x_{32} & -0.03 x_{23} & -0.81 x_{6} & -0.05 x_{18} & +  0.93 x_{8} & +  0.76 x_{14} & -0.03 x_{22} & -0.05 x_{28} & -0.66 x_{10} & +  0.21 x_{3} & +  0.48 x_{15} & +  0.63 x_{2} & +  0.71 x_{9} & -0.08 x_{21} & +  0.07 x_{30}\\
 x_{25}   &  12.9640985248 & -1.44 x_{4} & +  0.95 x_{32} & -0.52 x_{23} & + 15.20 x_{6} & -0.52 x_{18} & +  8.12 x_{8} & -8.48 x_{14} & -0.07 x_{22} & -0.11 x_{28} & -3.09 x_{10} & +  5.16 x_{3} & -16.24 x_{15} & -9.94 x_{2} & +  9.26 x_{9} & -0.46 x_{21} & -0.28 x_{30}\\
 x_{12}   &  1.0665009903 & +  1.55 x_{4} & +  0.01 x_{32} & +  0.21 x_{23} & +  0.87 x_{6} & +  0.05 x_{18} & -0.79 x_{8} & -2.28 x_{14} & -0.00 x_{22} & +  0.15 x_{28} & +  1.67 x_{10} & -0.80 x_{3} & +  0.05 x_{15} & -1.10 x_{2} & -2.03 x_{9} & +  0.16 x_{21} & -0.12 x_{30}\\
 x_{24}   &  69.5125951601 & -22.24 x_{4} & +  0.56 x_{32} & -1.24 x_{23} & +  9.91 x_{6} & -0.35 x_{18} & -8.46 x_{8} & + 16.17 x_{14} & +  0.75 x_{22} & -1.05 x_{28} & +  1.14 x_{10} & -3.74 x_{3} & -11.83 x_{15} & -3.64 x_{2} & + 15.68 x_{9} & -0.30 x_{21} & -0.03 x_{30}\\
 x_{11}   &  0.807081142273 & +  0.67 x_{4} & -0.01 x_{32} & +  0.06 x_{23} & -1.37 x_{6} & +  0.01 x_{18} & +  1.08 x_{8} & -0.53 x_{14} & +  0.02 x_{22} & +  0.06 x_{28} & +  0.12 x_{10} & -1.12 x_{3} & +  0.63 x_{15} & +  0.20 x_{2} & -0.62 x_{9} & -0.01 x_{21} & +  0.06 x_{30}\\
 x_{26}   &  60.2847792451 & -10.88 x_{4} & -0.03 x_{32} & -0.54 x_{23} & -8.49 x_{6} & -0.71 x_{18} & -7.77 x_{8} & +  6.82 x_{14} & +  0.43 x_{22} & -0.69 x_{28} & -2.69 x_{10} & +  8.02 x_{3} & + 21.41 x_{15} & -11.96 x_{2} & + 18.51 x_{9} & -0.95 x_{21} & -0.16 x_{30}\\
 x_{7}   &  0.67145332968 & +  0.53 x_{4} & +  0.03 x_{32} & +  0.20 x_{23} & +  1.78 x_{6} & +  0.18 x_{18} & -0.66 x_{8} & -4.12 x_{14} & -0.09 x_{22} & +  0.18 x_{28} & +  1.66 x_{10} & -0.39 x_{3} & -2.45 x_{15} & +  0.47 x_{2} & -2.48 x_{9} & +  0.19 x_{21} & -0.17 x_{30}\\
 x_{17}   &  5.67326501457 & -9.92 x_{4} & +  0.32 x_{32} & -0.82 x_{23} & +  8.41 x_{6} & +  0.32 x_{18} & + 15.07 x_{8} & -10.19 x_{14} & -1.14 x_{22} & -0.18 x_{28} & -21.99 x_{10} & +  7.47 x_{3} & -17.09 x_{15} & + 12.67 x_{2} & + 11.03 x_{9} & -0.44 x_{21} & +  0.15 x_{30}\\
 x_{29}   &  31.0839902461 & -1.64 x_{4} & -0.10 x_{32} & +  0.37 x_{23} & -5.32 x_{6} & +  0.67 x_{18} & -7.30 x_{8} & -15.95 x_{14} & +  0.03 x_{22} & +  1.23 x_{28} & -4.61 x_{10} & +  4.06 x_{3} & -2.89 x_{15} & -5.73 x_{2} & +  4.44 x_{9} & +  0.43 x_{21} & -0.63 x_{30}\\
 x_{1}   &  0.538963957285 & -1.31 x_{4} & +  0.00 x_{32} & -0.22 x_{23} & -0.42 x_{6} & -0.08 x_{18} & +  0.53 x_{8} & +  3.26 x_{14} & +  0.02 x_{22} & -0.21 x_{28} & -1.29 x_{10} & +  0.86 x_{3} & +  0.36 x_{15} & +  0.65 x_{2} & +  2.04 x_{9} & -0.13 x_{21} & +  0.16 x_{30}\\
 x_{31}   &  26.9942578707 & -11.18 x_{4} & -0.01 x_{32} & +  0.10 x_{23} & +  0.58 x_{6} & +  1.21 x_{18} & +  7.61 x_{8} & -18.38 x_{14} & -0.78 x_{22} & -0.17 x_{28} & -1.26 x_{10} & +  1.96 x_{3} & -8.43 x_{15} & +  6.95 x_{2} & -12.65 x_{9} & -0.19 x_{21} & -0.22 x_{30}\\
 x_{13}   &  0.902758333541 & -0.61 x_{4} & +  0.03 x_{32} & +  0.06 x_{23} & +  0.65 x_{6} & +  0.06 x_{18} & +  0.01 x_{8} & -1.14 x_{14} & +  0.01 x_{22} & +  0.04 x_{28} & +  0.83 x_{10} & -0.33 x_{3} & -0.47 x_{15} & -0.08 x_{2} & -0.84 x_{9} & +  0.03 x_{21} & -0.06 x_{30}\\
 x_{33}   &  42.197277451 & -16.05 x_{4} & -0.20 x_{32} & -3.11 x_{23} & -40.82 x_{6} & -1.67 x_{18} & + 24.00 x_{8} & + 49.22 x_{14} & +  0.77 x_{22} & -2.64 x_{28} & -16.61 x_{10} & -2.16 x_{3} & + 13.34 x_{15} & +  1.62 x_{2} & + 28.14 x_{9} & -3.22 x_{21} & +  3.06 x_{30}\\
\hline
z    &  -1.7300138749 & -6.04 x_{4} & -0.20 x_{32} & +  0.29 x_{23} & -0.47 x_{6} & +  0.20 x_{18} & +  0.38 x_{8} & -1.93 x_{14} & -0.36 x_{22} & -0.32 x_{28} & +  3.08 x_{10} & -0.54 x_{3} & -0.49 x_{15} & -1.87 x_{2} & +  0.33 x_{9} & +  0.08 x_{21} & +  0.05 x_{30}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{7} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  2.07234480334 & -0.40 x_{4} & +  0.11 x_{32} & +  0.09 x_{23} & +  2.24 x_{6} & +  0.14 x_{18} & -1.18 x_{7} & -3.60 x_{14} & -0.07 x_{22} & +  0.14 x_{28} & +  1.12 x_{10} & +  0.28 x_{3} & -3.28 x_{15} & +  0.59 x_{2} & -1.33 x_{9} & +  0.13 x_{21} & -0.15 x_{30}\\
 x_{27}   &  20.0036810508 & +  3.20 x_{4} & +  0.72 x_{32} & +  4.23 x_{23} & + 34.50 x_{6} & +  4.74 x_{18} & -21.42 x_{7} & -88.57 x_{14} & -2.04 x_{22} & +  3.85 x_{28} & + 42.81 x_{10} & -5.84 x_{3} & -68.59 x_{15} & + 13.47 x_{2} & -65.42 x_{9} & +  3.91 x_{21} & -3.39 x_{30}\\
 x_{19}   &  85.4305266768 & -23.87 x_{4} & +  1.40 x_{32} & +  0.73 x_{23} & + 43.97 x_{6} & +  3.47 x_{18} & -32.75 x_{7} & -66.03 x_{14} & -2.22 x_{22} & +  1.27 x_{28} & +  4.74 x_{10} & + 14.50 x_{3} & -74.55 x_{15} & + 19.57 x_{2} & -16.52 x_{9} & +  2.29 x_{21} & -2.52 x_{30}\\
 x_{20}   &  35.8990966667 & -9.25 x_{4} & +  0.88 x_{32} & -1.48 x_{23} & +  9.71 x_{6} & +  0.75 x_{18} & -21.80 x_{7} & -12.31 x_{14} & -0.57 x_{22} & -0.48 x_{28} & +  1.76 x_{10} & +  6.36 x_{3} & -43.23 x_{15} & + 16.10 x_{2} & + 11.09 x_{9} & +  0.10 x_{21} & -0.06 x_{30}\\
 x_{5}   &  1.00907457167 & +  0.48 x_{4} & +  0.04 x_{32} & +  0.26 x_{23} & +  1.70 x_{6} & +  0.21 x_{18} & -1.41 x_{7} & -5.05 x_{14} & -0.15 x_{22} & +  0.21 x_{28} & +  1.68 x_{10} & -0.34 x_{3} & -2.98 x_{15} & +  1.30 x_{2} & -2.79 x_{9} & +  0.18 x_{21} & -0.17 x_{30}\\
 x_{25}   &  21.275219322 & +  5.10 x_{4} & +  1.27 x_{32} & +  1.98 x_{23} & + 37.22 x_{6} & +  1.76 x_{18} & -12.38 x_{7} & -59.45 x_{14} & -1.13 x_{22} & +  2.09 x_{28} & + 17.46 x_{10} & +  0.35 x_{3} & -46.60 x_{15} & -4.08 x_{2} & -21.44 x_{9} & +  1.86 x_{21} & -2.36 x_{30}\\
 x_{12}   &  0.257232961032 & +  0.92 x_{4} & -0.02 x_{32} & -0.04 x_{23} & -1.27 x_{6} & -0.18 x_{18} & +  1.21 x_{7} & +  2.68 x_{14} & +  0.10 x_{22} & -0.06 x_{28} & -0.33 x_{10} & -0.33 x_{3} & +  3.00 x_{15} & -1.67 x_{2} & +  0.96 x_{9} & -0.07 x_{21} & +  0.08 x_{30}\\
 x_{24}   &  60.8552235761 & -29.06 x_{4} & +  0.23 x_{32} & -3.85 x_{23} & -13.03 x_{6} & -2.73 x_{18} & + 12.89 x_{7} & + 69.26 x_{14} & +  1.85 x_{22} & -3.34 x_{28} & -20.27 x_{10} & +  1.28 x_{3} & + 19.80 x_{15} & -9.75 x_{2} & + 47.65 x_{9} & -2.72 x_{21} & +  2.13 x_{30}\\
 x_{11}   &  1.91619532142 & +  1.55 x_{4} & +  0.03 x_{32} & +  0.39 x_{23} & +  1.57 x_{6} & +  0.31 x_{18} & -1.65 x_{7} & -7.33 x_{14} & -0.12 x_{22} & +  0.35 x_{28} & +  2.86 x_{10} & -1.76 x_{3} & -3.42 x_{15} & +  0.98 x_{2} & -4.72 x_{9} & +  0.30 x_{21} & -0.22 x_{30}\\
 x_{26}   &  52.3308561482 & -17.15 x_{4} & -0.34 x_{32} & -2.94 x_{23} & -29.56 x_{6} & -2.89 x_{18} & + 11.85 x_{7} & + 55.60 x_{14} & +  1.45 x_{22} & -2.79 x_{28} & -22.35 x_{10} & + 12.62 x_{3} & + 50.47 x_{15} & -17.56 x_{2} & + 47.89 x_{9} & -3.17 x_{21} & +  1.82 x_{30}\\
 x_{8}   &  1.02379443415 & +  0.81 x_{4} & +  0.04 x_{32} & +  0.31 x_{23} & +  2.71 x_{6} & +  0.28 x_{18} & -1.52 x_{7} & -6.28 x_{14} & -0.13 x_{22} & +  0.27 x_{28} & +  2.53 x_{10} & -0.59 x_{3} & -3.74 x_{15} & +  0.72 x_{2} & -3.78 x_{9} & +  0.29 x_{21} & -0.26 x_{30}\\
 x_{17}   &  21.1032408874 & +  2.23 x_{4} & +  0.91 x_{32} & +  3.83 x_{23} & + 49.29 x_{6} & +  4.55 x_{18} & -22.98 x_{7} & -104.83 x_{14} & -3.11 x_{22} & +  3.90 x_{28} & + 16.16 x_{10} & -1.46 x_{3} & -73.46 x_{15} & + 23.55 x_{2} & -45.96 x_{9} & +  3.87 x_{21} & -3.69 x_{30}\\
 x_{29}   &  23.6053874436 & -7.53 x_{4} & -0.38 x_{32} & -1.89 x_{23} & -25.13 x_{6} & -1.39 x_{18} & + 11.14 x_{7} & + 29.92 x_{14} & +  0.99 x_{22} & -0.74 x_{28} & -23.10 x_{10} & +  8.39 x_{3} & + 24.43 x_{15} & -11.01 x_{2} & + 32.06 x_{9} & -1.66 x_{21} & +  1.23 x_{30}\\
 x_{1}   &  1.07833302224 & -0.89 x_{4} & +  0.02 x_{32} & -0.06 x_{23} & +  1.00 x_{6} & +  0.06 x_{18} & -0.80 x_{7} & -0.05 x_{14} & -0.05 x_{22} & -0.07 x_{28} & +  0.04 x_{10} & +  0.55 x_{3} & -1.61 x_{15} & +  1.03 x_{2} & +  0.05 x_{9} & +  0.02 x_{21} & +  0.03 x_{30}\\
 x_{31}   &  34.7888127309 & -5.04 x_{4} & +  0.29 x_{32} & +  2.45 x_{23} & + 21.23 x_{6} & +  3.34 x_{18} & -11.61 x_{7} & -66.19 x_{14} & -1.78 x_{22} & +  1.90 x_{28} & + 18.02 x_{10} & -2.55 x_{3} & -36.91 x_{15} & + 12.44 x_{2} & -41.44 x_{9} & +  1.99 x_{21} & -2.17 x_{30}\\
 x_{13}   &  0.912987424523 & -0.61 x_{4} & +  0.03 x_{32} & +  0.06 x_{23} & +  0.68 x_{6} & +  0.06 x_{18} & -0.02 x_{7} & -1.20 x_{14} & +  0.01 x_{22} & +  0.04 x_{28} & +  0.85 x_{10} & -0.33 x_{3} & -0.50 x_{15} & -0.07 x_{2} & -0.87 x_{9} & +  0.03 x_{21} & -0.06 x_{30}\\
 x_{33}   &  66.7692810231 & +  3.30 x_{4} & +  0.74 x_{32} & +  4.30 x_{23} & + 24.28 x_{6} & +  5.07 x_{18} & -36.60 x_{7} & -101.49 x_{14} & -2.37 x_{22} & +  3.86 x_{28} & + 44.15 x_{10} & -16.38 x_{3} & -76.44 x_{15} & + 18.94 x_{2} & -62.62 x_{9} & +  3.65 x_{21} & -3.07 x_{30}\\
\hline
z    &  -1.33978096011 & -5.73 x_{4} & -0.18 x_{32} & +  0.41 x_{23} & +  0.56 x_{6} & +  0.31 x_{18} & -0.58 x_{7} & -4.32 x_{14} & -0.41 x_{22} & -0.22 x_{28} & +  4.04 x_{10} & -0.76 x_{3} & -1.91 x_{15} & -1.59 x_{2} & -1.11 x_{9} & +  0.19 x_{21} & -0.05 x_{30}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{12} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  2.52410220908 & +  1.21 x_{4} & +  0.06 x_{32} & +  0.02 x_{23} & -1.76 x_{12} & -0.17 x_{18} & +  0.93 x_{7} & +  1.11 x_{14} & +  0.11 x_{22} & +  0.03 x_{28} & +  0.54 x_{10} & -0.30 x_{3} & +  1.99 x_{15} & -2.35 x_{2} & +  0.35 x_{9} & +  0.01 x_{21} & -0.01 x_{30}\\
 x_{27}   &  26.9685897613 & + 27.99 x_{4} & +  0.06 x_{32} & +  3.18 x_{23} & -27.08 x_{12} & -0.01 x_{18} & + 11.21 x_{7} & -15.99 x_{14} & +  0.74 x_{22} & +  2.22 x_{28} & + 33.90 x_{10} & -14.87 x_{3} & + 12.71 x_{15} & -31.88 x_{2} & -39.53 x_{9} & +  2.02 x_{21} & -1.25 x_{30}\\
 x_{19}   &  94.3064853062 & +  7.72 x_{4} & +  0.55 x_{32} & -0.60 x_{23} & -34.51 x_{12} & -2.58 x_{18} & +  8.84 x_{7} & + 26.47 x_{14} & +  1.32 x_{22} & -0.81 x_{28} & -6.61 x_{10} & +  3.00 x_{3} & + 29.05 x_{15} & -38.21 x_{2} & + 16.48 x_{9} & -0.11 x_{21} & +  0.21 x_{30}\\
 x_{20}   &  37.8600077518 & -2.27 x_{4} & +  0.70 x_{32} & -1.77 x_{23} & -7.62 x_{12} & -0.59 x_{18} & -12.62 x_{7} & +  8.12 x_{14} & +  0.21 x_{22} & -0.94 x_{28} & -0.74 x_{10} & +  3.82 x_{3} & -20.34 x_{15} & +  3.33 x_{2} & + 18.38 x_{9} & -0.43 x_{21} & +  0.54 x_{30}\\
 x_{5}   &  1.35178903366 & +  1.70 x_{4} & +  0.01 x_{32} & +  0.21 x_{23} & -1.33 x_{12} & -0.02 x_{18} & +  0.19 x_{7} & -1.47 x_{14} & -0.02 x_{22} & +  0.13 x_{28} & +  1.24 x_{10} & -0.78 x_{3} & +  1.02 x_{15} & -0.93 x_{2} & -1.51 x_{9} & +  0.09 x_{21} & -0.06 x_{30}\\
 x_{25}   &  28.788499018 & + 31.84 x_{4} & +  0.55 x_{32} & +  0.85 x_{23} & -29.21 x_{12} & -3.36 x_{18} & + 22.83 x_{7} & + 18.84 x_{14} & +  1.87 x_{22} & +  0.33 x_{28} & +  7.84 x_{10} & -9.39 x_{3} & + 41.09 x_{15} & -53.00 x_{2} & +  6.49 x_{9} & -0.17 x_{21} & -0.04 x_{30}\\
 x_{6}   &  0.201867971356 & +  0.72 x_{4} & -0.02 x_{32} & -0.03 x_{23} & -0.78 x_{12} & -0.14 x_{18} & +  0.95 x_{7} & +  2.10 x_{14} & +  0.08 x_{22} & -0.05 x_{28} & -0.26 x_{10} & -0.26 x_{3} & +  2.36 x_{15} & -1.31 x_{2} & +  0.75 x_{9} & -0.05 x_{21} & +  0.06 x_{30}\\
 x_{24}   &  58.2246580849 & -38.42 x_{4} & +  0.48 x_{32} & -3.45 x_{23} & + 10.23 x_{12} & -0.93 x_{18} & +  0.57 x_{7} & + 41.85 x_{14} & +  0.80 x_{22} & -2.73 x_{28} & -16.90 x_{10} & +  4.69 x_{3} & -10.90 x_{15} & +  7.38 x_{2} & + 37.87 x_{9} & -2.01 x_{21} & +  1.32 x_{30}\\
 x_{11}   &  2.23258951603 & +  2.67 x_{4} & +  0.00 x_{32} & +  0.34 x_{23} & -1.23 x_{12} & +  0.10 x_{18} & -0.17 x_{7} & -4.03 x_{14} & +  0.00 x_{22} & +  0.28 x_{28} & +  2.46 x_{10} & -2.17 x_{3} & +  0.27 x_{15} & -1.08 x_{2} & -3.54 x_{9} & +  0.21 x_{21} & -0.12 x_{30}\\
 x_{26}   &  46.3627428455 & -38.38 x_{4} & +  0.23 x_{32} & -2.04 x_{23} & + 23.20 x_{12} & +  1.18 x_{18} & -16.12 x_{7} & -6.59 x_{14} & -0.94 x_{22} & -1.39 x_{28} & -14.72 x_{10} & + 20.36 x_{3} & -19.19 x_{15} & + 21.29 x_{2} & + 25.70 x_{9} & -1.56 x_{21} & -0.02 x_{30}\\
 x_{8}   &  1.57135524916 & +  2.75 x_{4} & -0.01 x_{32} & +  0.23 x_{23} & -2.13 x_{12} & -0.09 x_{18} & +  1.04 x_{7} & -0.57 x_{14} & +  0.09 x_{22} & +  0.14 x_{28} & +  1.83 x_{10} & -1.30 x_{3} & +  2.65 x_{15} & -2.84 x_{2} & -1.75 x_{9} & +  0.14 x_{21} & -0.09 x_{30}\\
 x_{17}   &  31.0530924614 & + 37.64 x_{4} & -0.04 x_{32} & +  2.33 x_{23} & -38.68 x_{12} & -2.23 x_{18} & + 23.64 x_{7} & -1.14 x_{14} & +  0.86 x_{22} & +  1.57 x_{28} & +  3.43 x_{10} & -14.36 x_{3} & + 42.67 x_{15} & -41.23 x_{2} & -8.97 x_{9} & +  1.18 x_{21} & -0.63 x_{30}\\
 x_{29}   &  18.5324206639 & -25.58 x_{4} & +  0.10 x_{32} & -1.13 x_{23} & + 19.72 x_{12} & +  2.07 x_{18} & -12.63 x_{7} & -22.95 x_{14} & -1.04 x_{22} & +  0.44 x_{28} & -16.61 x_{10} & + 14.97 x_{3} & -34.78 x_{15} & + 22.02 x_{2} & + 13.20 x_{9} & -0.29 x_{21} & -0.33 x_{30}\\
 x_{1}   &  1.28102917648 & -0.17 x_{4} & +  0.00 x_{32} & -0.09 x_{23} & -0.79 x_{12} & -0.07 x_{18} & +  0.15 x_{7} & +  2.06 x_{14} & +  0.03 x_{22} & -0.12 x_{28} & -0.22 x_{10} & +  0.28 x_{3} & +  0.75 x_{15} & -0.29 x_{2} & +  0.80 x_{9} & -0.04 x_{21} & +  0.09 x_{30}\\
 x_{31}   &  39.0751670069 & + 10.21 x_{4} & -0.12 x_{32} & +  1.81 x_{23} & -16.66 x_{12} & +  0.42 x_{18} & +  8.47 x_{7} & -21.52 x_{14} & -0.07 x_{22} & +  0.89 x_{28} & + 12.53 x_{10} & -8.11 x_{3} & + 13.12 x_{15} & -15.47 x_{2} & -25.50 x_{9} & +  0.83 x_{21} & -0.85 x_{30}\\
 x_{13}   &  1.05037250796 & -0.12 x_{4} & +  0.02 x_{32} & +  0.04 x_{23} & -0.53 x_{12} & -0.03 x_{18} & +  0.63 x_{7} & +  0.23 x_{14} & +  0.07 x_{22} & +  0.01 x_{28} & +  0.68 x_{10} & -0.51 x_{3} & +  1.10 x_{15} & -0.97 x_{2} & -0.36 x_{9} & -0.00 x_{21} & -0.02 x_{30}\\
 x_{33}   &  71.6701193471 & + 20.74 x_{4} & +  0.27 x_{32} & +  3.56 x_{23} & -19.05 x_{12} & +  1.73 x_{18} & -13.63 x_{7} & -50.42 x_{14} & -0.42 x_{22} & +  2.72 x_{28} & + 37.88 x_{10} & -22.74 x_{3} & -19.23 x_{15} & -12.97 x_{2} & -44.40 x_{9} & +  2.33 x_{21} & -1.56 x_{30}\\
\hline
z    &  -1.22601086997 & -5.33 x_{4} & -0.19 x_{32} & +  0.39 x_{23} & -0.44 x_{12} & +  0.23 x_{18} & -0.05 x_{7} & -3.14 x_{14} & -0.37 x_{22} & -0.24 x_{28} & +  3.89 x_{10} & -0.91 x_{3} & -0.58 x_{15} & -2.33 x_{2} & -0.69 x_{9} & +  0.16 x_{21} & -0.01 x_{30}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  2.94468885005 & +  2.70 x_{4} & +  0.02 x_{32} & -0.04 x_{23} & -3.39 x_{12} & -0.46 x_{18} & +  2.90 x_{7} & +  5.49 x_{14} & +  0.28 x_{22} & -0.07 x_{28} & -2.08 x_{6} & -0.85 x_{3} & +  6.90 x_{15} & -5.09 x_{2} & +  1.92 x_{9} & -0.10 x_{21} & +  0.12 x_{30}\\
 x_{27}   &  53.4710813574 & + 122.30 x_{4} & -2.47 x_{32} & -0.82 x_{23} & -130.11 x_{12} & -18.07 x_{18} & + 135.39 x_{7} & + 260.19 x_{14} & + 11.32 x_{22} & -3.98 x_{28} & -131.29 x_{6} & -49.24 x_{3} & + 322.05 x_{15} & -204.43 x_{2} & + 59.00 x_{9} & -5.14 x_{21} & +  6.91 x_{30}\\
 x_{19}   &  89.1380338357 & -10.67 x_{4} & +  1.04 x_{32} & +  0.18 x_{23} & -14.41 x_{12} & +  0.94 x_{18} & -15.38 x_{7} & -27.39 x_{14} & -0.74 x_{22} & +  0.40 x_{28} & + 25.60 x_{6} & +  9.70 x_{3} & -31.27 x_{15} & -4.56 x_{2} & -2.73 x_{9} & +  1.29 x_{21} & -1.38 x_{30}\\
 x_{20}   &  37.2779936022 & -4.34 x_{4} & +  0.75 x_{32} & -1.69 x_{23} & -5.36 x_{12} & -0.19 x_{18} & -15.34 x_{7} & +  2.06 x_{14} & -0.02 x_{22} & -0.81 x_{28} & +  2.88 x_{6} & +  4.57 x_{3} & -27.13 x_{15} & +  7.12 x_{2} & + 16.21 x_{9} & -0.28 x_{21} & +  0.36 x_{30}\\
 x_{5}   &  2.32099066715 & +  5.15 x_{4} & -0.08 x_{32} & +  0.06 x_{23} & -5.10 x_{12} & -0.68 x_{18} & +  4.74 x_{7} & +  8.63 x_{14} & +  0.37 x_{22} & -0.10 x_{28} & -4.80 x_{6} & -2.04 x_{3} & + 12.33 x_{15} & -7.24 x_{2} & +  2.09 x_{9} & -0.17 x_{21} & +  0.24 x_{30}\\
 x_{25}   &  34.9206410975 & + 53.66 x_{4} & -0.03 x_{32} & -0.07 x_{23} & -53.05 x_{12} & -7.54 x_{18} & + 51.56 x_{7} & + 82.75 x_{14} & +  4.31 x_{22} & -1.10 x_{28} & -30.38 x_{6} & -17.34 x_{3} & + 112.67 x_{15} & -92.92 x_{2} & + 29.29 x_{9} & -1.83 x_{21} & +  1.85 x_{30}\\
 x_{10}   &  0.781697061636 & +  2.78 x_{4} & -0.07 x_{32} & -0.12 x_{23} & -3.04 x_{12} & -0.53 x_{18} & +  3.66 x_{7} & +  8.15 x_{14} & +  0.31 x_{22} & -0.18 x_{28} & -3.87 x_{6} & -1.01 x_{3} & +  9.12 x_{15} & -5.09 x_{2} & +  2.91 x_{9} & -0.21 x_{21} & +  0.24 x_{30}\\
 x_{24}   &  45.0102364542 & -85.45 x_{4} & +  1.74 x_{32} & -1.46 x_{23} & + 61.60 x_{12} & +  8.08 x_{18} & -61.35 x_{7} & -95.86 x_{14} & -4.47 x_{22} & +  0.37 x_{28} & + 65.46 x_{6} & + 21.82 x_{3} & -165.14 x_{15} & + 93.42 x_{2} & -11.26 x_{9} & +  1.56 x_{21} & -2.75 x_{30}\\
 x_{11}   &  4.15187151667 & +  9.50 x_{4} & -0.18 x_{32} & +  0.05 x_{23} & -8.69 x_{12} & -1.21 x_{18} & +  8.82 x_{7} & + 15.97 x_{14} & +  0.77 x_{22} & -0.17 x_{28} & -9.51 x_{6} & -4.66 x_{3} & + 22.67 x_{15} & -13.58 x_{2} & +  3.59 x_{9} & -0.30 x_{21} & +  0.47 x_{30}\\
 x_{26}   &  34.8578438809 & -79.33 x_{4} & +  1.33 x_{32} & -0.31 x_{23} & + 67.93 x_{12} & +  9.02 x_{18} & -70.02 x_{7} & -126.49 x_{14} & -5.53 x_{22} & +  1.30 x_{28} & + 56.99 x_{6} & + 35.28 x_{3} & -153.48 x_{15} & + 96.20 x_{2} & -17.07 x_{9} & +  1.55 x_{21} & -3.56 x_{30}\\
 x_{8}   &  3.00264485704 & +  7.85 x_{4} & -0.15 x_{32} & +  0.01 x_{23} & -7.69 x_{12} & -1.07 x_{18} & +  7.75 x_{7} & + 14.34 x_{14} & +  0.66 x_{22} & -0.19 x_{28} & -7.09 x_{6} & -3.16 x_{3} & + 19.36 x_{15} & -12.16 x_{2} & +  3.58 x_{9} & -0.25 x_{21} & +  0.35 x_{30}\\
 x_{17}   &  33.7360947136 & + 47.19 x_{4} & -0.30 x_{32} & +  1.93 x_{23} & -49.11 x_{12} & -4.06 x_{18} & + 36.21 x_{7} & + 26.82 x_{14} & +  1.93 x_{22} & +  0.94 x_{28} & -13.29 x_{6} & -17.84 x_{3} & + 73.99 x_{15} & -58.70 x_{2} & +  1.01 x_{9} & +  0.46 x_{21} & +  0.20 x_{30}\\
 x_{29}   &  5.54963559015 & -71.78 x_{4} & +  1.34 x_{32} & +  0.83 x_{23} & + 70.19 x_{12} & + 10.92 x_{18} & -73.46 x_{7} & -158.24 x_{14} & -6.22 x_{22} & +  3.48 x_{28} & + 64.31 x_{6} & + 31.80 x_{3} & -186.32 x_{15} & + 106.55 x_{2} & -35.07 x_{9} & +  3.22 x_{21} & -4.33 x_{30}\\
 x_{1}   &  1.11053655641 & -0.77 x_{4} & +  0.02 x_{32} & -0.07 x_{23} & -0.13 x_{12} & +  0.04 x_{18} & -0.65 x_{7} & +  0.28 x_{14} & -0.03 x_{22} & -0.08 x_{28} & +  0.84 x_{6} & +  0.50 x_{3} & -1.24 x_{15} & +  0.82 x_{2} & +  0.17 x_{9} & +  0.01 x_{21} & +  0.04 x_{30}\\
 x_{31}   &  48.8714770966 & + 45.08 x_{4} & -1.05 x_{32} & +  0.33 x_{23} & -54.75 x_{12} & -6.25 x_{18} & + 54.37 x_{7} & + 80.56 x_{14} & +  3.84 x_{22} & -1.40 x_{28} & -48.53 x_{6} & -20.81 x_{3} & + 127.47 x_{15} & -79.25 x_{2} & + 10.92 x_{9} & -1.81 x_{21} & +  2.17 x_{30}\\
 x_{13}   &  1.58031197441 & +  1.77 x_{4} & -0.03 x_{32} & -0.04 x_{23} & -2.59 x_{12} & -0.39 x_{18} & +  3.11 x_{7} & +  5.75 x_{14} & +  0.28 x_{22} & -0.11 x_{28} & -2.63 x_{6} & -1.20 x_{3} & +  7.28 x_{15} & -4.42 x_{2} & +  1.61 x_{9} & -0.15 x_{21} & +  0.14 x_{30}\\
 x_{33}   &  101.283395442 & + 126.12 x_{4} & -2.55 x_{32} & -0.90 x_{23} & -134.17 x_{12} & -18.46 x_{18} & + 125.12 x_{7} & + 258.18 x_{14} & + 11.40 x_{22} & -4.22 x_{28} & -146.70 x_{6} & -61.14 x_{3} & + 326.42 x_{15} & -205.77 x_{2} & + 65.70 x_{9} & -5.67 x_{21} & +  7.56 x_{30}\\
\hline
z    &  1.81829634271 & +  5.51 x_{4} & -0.48 x_{32} & -0.07 x_{23} & -12.28 x_{12} & -1.84 x_{18} & + 14.22 x_{7} & + 28.59 x_{14} & +  0.85 x_{22} & -0.96 x_{28} & -15.08 x_{6} & -4.86 x_{3} & + 34.95 x_{15} & -22.15 x_{2} & + 10.63 x_{9} & -0.67 x_{21} & +  0.92 x_{30}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{29} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  3.15379499483 & -0.04 x_{29} & +  0.07 x_{32} & -0.01 x_{23} & -0.75 x_{12} & -0.05 x_{18} & +  0.13 x_{7} & -0.47 x_{14} & +  0.05 x_{22} & +  0.06 x_{28} & +  0.34 x_{6} & +  0.35 x_{3} & -0.12 x_{15} & -1.08 x_{2} & +  0.59 x_{9} & +  0.02 x_{21} & -0.04 x_{30}\\
 x_{27}   &  62.9262914439 & -1.70 x_{29} & -0.19 x_{32} & +  0.60 x_{23} & -10.52 x_{12} & +  0.54 x_{18} & + 10.23 x_{7} & -9.41 x_{14} & +  0.73 x_{22} & +  1.95 x_{28} & -21.71 x_{6} & +  4.95 x_{3} & +  4.61 x_{15} & -22.89 x_{2} & -0.75 x_{9} & +  0.35 x_{21} & -0.46 x_{30}\\
 x_{19}   &  88.3127639949 & +  0.15 x_{29} & +  0.84 x_{32} & +  0.05 x_{23} & -24.85 x_{12} & -0.68 x_{18} & -4.45 x_{7} & -3.86 x_{14} & +  0.18 x_{22} & -0.11 x_{28} & + 16.04 x_{6} & +  4.97 x_{3} & -3.57 x_{15} & -20.41 x_{2} & +  2.48 x_{9} & +  0.81 x_{21} & -0.74 x_{30}\\
 x_{20}   &  36.9423021324 & +  0.06 x_{29} & +  0.67 x_{32} & -1.74 x_{23} & -9.61 x_{12} & -0.85 x_{18} & -10.90 x_{7} & + 11.63 x_{14} & +  0.35 x_{22} & -1.02 x_{28} & -1.01 x_{6} & +  2.65 x_{3} & -15.86 x_{15} & +  0.68 x_{2} & + 18.33 x_{9} & -0.47 x_{21} & +  0.62 x_{30}\\
 x_{5}   &  2.71939223532 & -0.07 x_{29} & +  0.01 x_{32} & +  0.12 x_{23} & -0.06 x_{12} & +  0.10 x_{18} & -0.54 x_{7} & -2.73 x_{14} & -0.08 x_{22} & +  0.15 x_{28} & -0.18 x_{6} & +  0.25 x_{3} & -1.04 x_{15} & +  0.41 x_{2} & -0.43 x_{9} & +  0.06 x_{21} & -0.07 x_{30}\\
 x_{25}   &  39.0690531775 & -0.75 x_{29} & +  0.97 x_{32} & +  0.55 x_{23} & -0.58 x_{12} & +  0.62 x_{18} & -3.36 x_{7} & -35.54 x_{14} & -0.33 x_{22} & +  1.50 x_{28} & + 17.70 x_{6} & +  6.43 x_{3} & -26.61 x_{15} & -13.27 x_{2} & +  3.07 x_{9} & +  0.58 x_{21} & -1.39 x_{30}\\
 x_{10}   &  0.996760972422 & -0.04 x_{29} & -0.02 x_{32} & -0.09 x_{23} & -0.32 x_{12} & -0.11 x_{18} & +  0.82 x_{7} & +  2.01 x_{14} & +  0.07 x_{22} & -0.05 x_{28} & -1.38 x_{6} & +  0.22 x_{3} & +  1.90 x_{15} & -0.96 x_{2} & +  1.55 x_{9} & -0.09 x_{21} & +  0.07 x_{30}\\
 x_{24}   &  38.4042201896 & +  1.19 x_{29} & +  0.15 x_{32} & -2.45 x_{23} & -21.96 x_{12} & -4.92 x_{18} & + 26.10 x_{7} & + 92.50 x_{14} & +  2.93 x_{22} & -3.78 x_{28} & -11.09 x_{6} & -16.03 x_{3} & + 56.65 x_{15} & -33.42 x_{2} & + 30.49 x_{9} & -2.28 x_{21} & +  2.40 x_{30}\\
 x_{11}   &  4.8865512689 & -0.13 x_{29} & -0.00 x_{32} & +  0.16 x_{23} & +  0.60 x_{12} & +  0.23 x_{18} & -0.90 x_{7} & -4.98 x_{14} & -0.05 x_{22} & +  0.29 x_{28} & -0.99 x_{6} & -0.45 x_{3} & -1.99 x_{15} & +  0.53 x_{2} & -1.05 x_{9} & +  0.12 x_{21} & -0.11 x_{30}\\
 x_{26}   &  28.7250943617 & +  1.11 x_{29} & -0.15 x_{32} & -1.23 x_{23} & -9.64 x_{12} & -3.05 x_{18} & + 11.16 x_{7} & + 48.38 x_{14} & +  1.34 x_{22} & -2.55 x_{28} & -14.08 x_{6} & +  0.14 x_{3} & + 52.42 x_{15} & -21.55 x_{2} & + 21.68 x_{9} & -2.01 x_{21} & +  1.22 x_{30}\\
 x_{8}   &  3.60938897175 & -0.11 x_{29} & -0.00 x_{32} & +  0.10 x_{23} & -0.02 x_{12} & +  0.13 x_{18} & -0.28 x_{7} & -2.96 x_{14} & -0.02 x_{22} & +  0.19 x_{28} & -0.06 x_{6} & +  0.32 x_{3} & -1.01 x_{15} & -0.51 x_{2} & -0.26 x_{9} & +  0.10 x_{21} & -0.12 x_{30}\\
 x_{17}   &  37.3841583021 & -0.66 x_{29} & +  0.58 x_{32} & +  2.48 x_{23} & -2.97 x_{12} & +  3.12 x_{18} & -12.08 x_{7} & -77.20 x_{14} & -2.16 x_{22} & +  3.23 x_{28} & + 28.99 x_{6} & +  3.06 x_{3} & -48.49 x_{15} & + 11.34 x_{2} & -22.05 x_{9} & +  2.58 x_{21} & -2.65 x_{30}\\
 x_{4}   &  0.0773108163068 & -0.01 x_{29} & +  0.02 x_{32} & +  0.01 x_{23} & +  0.98 x_{12} & +  0.15 x_{18} & -1.02 x_{7} & -2.20 x_{14} & -0.09 x_{22} & +  0.05 x_{28} & +  0.90 x_{6} & +  0.44 x_{3} & -2.60 x_{15} & +  1.48 x_{2} & -0.49 x_{9} & +  0.04 x_{21} & -0.06 x_{30}\\
 x_{1}   &  1.0508324657 & +  0.01 x_{29} & +  0.01 x_{32} & -0.08 x_{23} & -0.88 x_{12} & -0.08 x_{18} & +  0.14 x_{7} & +  1.99 x_{14} & +  0.03 x_{22} & -0.12 x_{28} & +  0.15 x_{6} & +  0.16 x_{3} & +  0.77 x_{15} & -0.32 x_{2} & +  0.55 x_{9} & -0.03 x_{21} & +  0.09 x_{30}\\
 x_{31}   &  52.3563723896 & -0.63 x_{29} & -0.21 x_{32} & +  0.85 x_{23} & -10.67 x_{12} & +  0.60 x_{18} & +  8.24 x_{7} & -18.80 x_{14} & -0.06 x_{22} & +  0.79 x_{28} & -8.14 x_{6} & -0.84 x_{3} & + 10.46 x_{15} & -12.34 x_{2} & -11.10 x_{9} & +  0.21 x_{21} & -0.55 x_{30}\\
 x_{13}   &  1.71705319853 & -0.02 x_{29} & +  0.00 x_{32} & -0.02 x_{23} & -0.86 x_{12} & -0.12 x_{18} & +  1.30 x_{7} & +  1.85 x_{14} & +  0.13 x_{22} & -0.03 x_{28} & -1.04 x_{6} & -0.42 x_{3} & +  2.69 x_{15} & -1.79 x_{2} & +  0.74 x_{9} & -0.07 x_{21} & +  0.04 x_{30}\\
 x_{33}   &  111.034097425 & -1.76 x_{29} & -0.20 x_{32} & +  0.56 x_{23} & -10.85 x_{12} & +  0.73 x_{18} & -3.95 x_{7} & -19.84 x_{14} & +  0.47 x_{22} & +  1.90 x_{28} & -33.70 x_{6} & -5.26 x_{3} & -0.95 x_{15} & -18.56 x_{2} & +  4.08 x_{9} & -0.01 x_{21} & -0.04 x_{30}\\
\hline
z    &  2.24414246172 & -0.08 x_{29} & -0.38 x_{32} & -0.00 x_{23} & -6.89 x_{12} & -1.00 x_{18} & +  8.58 x_{7} & + 16.44 x_{14} & +  0.37 x_{22} & -0.69 x_{28} & -10.15 x_{6} & -2.42 x_{3} & + 20.65 x_{15} & -13.98 x_{2} & +  7.94 x_{9} & -0.42 x_{21} & +  0.59 x_{30}\\
\end{array}\]


 $ x_{7} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  3.16394686323 & -0.04 x_{29} & +  0.08 x_{32} & -0.01 x_{23} & -0.62 x_{12} & -0.03 x_{18} & -0.13 x_{4} & -0.76 x_{14} & +  0.04 x_{22} & +  0.07 x_{28} & +  0.46 x_{6} & +  0.41 x_{3} & -0.46 x_{15} & -0.88 x_{2} & +  0.53 x_{9} & +  0.03 x_{21} & -0.05 x_{30}\\
 x_{27}   &  63.6990633236 & -1.84 x_{29} & -0.01 x_{32} & +  0.71 x_{23} & -0.74 x_{12} & +  2.06 x_{18} & -10.00 x_{4} & -31.44 x_{14} & -0.14 x_{22} & +  2.44 x_{28} & -12.76 x_{6} & +  9.37 x_{3} & -21.34 x_{15} & -8.06 x_{2} & -5.63 x_{9} & +  0.80 x_{21} & -1.06 x_{30}\\
 x_{19}   &  87.976300932 & +  0.21 x_{29} & +  0.76 x_{32} & +  0.00 x_{23} & -29.11 x_{12} & -1.34 x_{18} & +  4.35 x_{4} & +  5.74 x_{14} & +  0.56 x_{22} & -0.32 x_{28} & + 12.14 x_{6} & +  3.04 x_{3} & +  7.73 x_{15} & -26.87 x_{2} & +  4.61 x_{9} & +  0.61 x_{21} & -0.48 x_{30}\\
 x_{20}   &  36.1188889344 & +  0.21 x_{29} & +  0.47 x_{32} & -1.86 x_{23} & -20.02 x_{12} & -2.47 x_{18} & + 10.65 x_{4} & + 35.11 x_{14} & +  1.28 x_{22} & -1.53 x_{28} & -10.55 x_{6} & -2.07 x_{3} & + 11.78 x_{15} & -15.13 x_{2} & + 23.54 x_{9} & -0.95 x_{21} & +  1.26 x_{30}\\
 x_{5}   &  2.67877848215 & -0.06 x_{29} & +  0.00 x_{32} & +  0.11 x_{23} & -0.57 x_{12} & +  0.02 x_{18} & +  0.53 x_{4} & -1.58 x_{14} & -0.03 x_{22} & +  0.12 x_{28} & -0.65 x_{6} & +  0.01 x_{3} & +  0.32 x_{15} & -0.37 x_{2} & -0.17 x_{9} & +  0.03 x_{21} & -0.04 x_{30}\\
 x_{25}   &  38.8155200917 & -0.70 x_{29} & +  0.91 x_{32} & +  0.51 x_{23} & -3.78 x_{12} & +  0.12 x_{18} & +  3.28 x_{4} & -28.31 x_{14} & -0.05 x_{22} & +  1.34 x_{28} & + 14.76 x_{6} & +  4.98 x_{3} & -18.10 x_{15} & -18.14 x_{2} & +  4.68 x_{9} & +  0.43 x_{21} & -1.19 x_{30}\\
 x_{10}   &  1.05838824997 & -0.05 x_{29} & -0.01 x_{32} & -0.08 x_{23} & +  0.46 x_{12} & +  0.01 x_{18} & -0.80 x_{4} & +  0.26 x_{14} & +  0.00 x_{22} & -0.01 x_{28} & -0.67 x_{6} & +  0.57 x_{3} & -0.17 x_{15} & +  0.22 x_{2} & +  1.16 x_{9} & -0.05 x_{21} & +  0.03 x_{30}\\
 x_{24}   &  40.3757512088 & +  0.84 x_{29} & +  0.62 x_{32} & -2.15 x_{23} & +  2.98 x_{12} & -1.04 x_{18} & -25.50 x_{4} & + 36.29 x_{14} & +  0.72 x_{22} & -2.54 x_{28} & + 11.75 x_{6} & -4.74 x_{3} & -9.55 x_{15} & +  4.44 x_{2} & + 18.03 x_{9} & -1.13 x_{21} & +  0.86 x_{30}\\
 x_{11}   &  4.81842989032 & -0.12 x_{29} & -0.02 x_{32} & +  0.15 x_{23} & -0.26 x_{12} & +  0.10 x_{18} & +  0.88 x_{4} & -3.04 x_{14} & +  0.02 x_{22} & +  0.25 x_{28} & -1.78 x_{6} & -0.84 x_{3} & +  0.29 x_{15} & -0.78 x_{2} & -0.62 x_{9} & +  0.08 x_{21} & -0.05 x_{30}\\
 x_{26}   &  29.5679543404 & +  0.95 x_{29} & +  0.05 x_{32} & -1.10 x_{23} & +  1.02 x_{12} & -1.39 x_{18} & -10.90 x_{4} & + 24.35 x_{14} & +  0.40 x_{22} & -2.02 x_{28} & -4.31 x_{6} & +  4.97 x_{3} & + 24.12 x_{15} & -5.37 x_{2} & + 16.35 x_{9} & -1.52 x_{21} & +  0.56 x_{30}\\
 x_{8}   &  3.58789594653 & -0.11 x_{29} & -0.01 x_{32} & +  0.10 x_{23} & -0.29 x_{12} & +  0.08 x_{18} & +  0.28 x_{4} & -2.35 x_{14} & +  0.00 x_{22} & +  0.17 x_{28} & -0.31 x_{6} & +  0.20 x_{3} & -0.29 x_{15} & -0.93 x_{2} & -0.12 x_{9} & +  0.09 x_{21} & -0.10 x_{30}\\
 x_{17}   &  36.4716206523 & -0.49 x_{29} & +  0.36 x_{32} & +  2.34 x_{23} & -14.51 x_{12} & +  1.32 x_{18} & + 11.80 x_{4} & -51.18 x_{14} & -1.13 x_{22} & +  2.66 x_{28} & + 18.41 x_{6} & -2.17 x_{3} & -17.85 x_{15} & -6.18 x_{2} & -16.28 x_{9} & +  2.05 x_{21} & -1.93 x_{30}\\
 x_{7}   &  0.0755452067762 & -0.01 x_{29} & +  0.02 x_{32} & +  0.01 x_{23} & +  0.96 x_{12} & +  0.15 x_{18} & -0.98 x_{4} & -2.15 x_{14} & -0.08 x_{22} & +  0.05 x_{28} & +  0.88 x_{6} & +  0.43 x_{3} & -2.54 x_{15} & +  1.45 x_{2} & -0.48 x_{9} & +  0.04 x_{21} & -0.06 x_{30}\\
 x_{1}   &  1.06125098165 & +  0.01 x_{29} & +  0.01 x_{32} & -0.07 x_{23} & -0.75 x_{12} & -0.05 x_{18} & -0.13 x_{4} & +  1.69 x_{14} & +  0.02 x_{22} & -0.11 x_{28} & +  0.27 x_{6} & +  0.22 x_{3} & +  0.42 x_{15} & -0.12 x_{2} & +  0.48 x_{9} & -0.02 x_{21} & +  0.08 x_{30}\\
 x_{31}   &  52.9792422548 & -0.74 x_{29} & -0.06 x_{32} & +  0.94 x_{23} & -2.79 x_{12} & +  1.83 x_{18} & -8.06 x_{4} & -36.56 x_{14} & -0.76 x_{22} & +  1.18 x_{28} & -0.92 x_{6} & +  2.73 x_{3} & -10.45 x_{15} & -0.38 x_{2} & -15.04 x_{9} & +  0.57 x_{21} & -1.03 x_{30}\\
 x_{13}   &  1.81536874536 & -0.04 x_{29} & +  0.03 x_{32} & -0.00 x_{23} & +  0.38 x_{12} & +  0.07 x_{18} & -1.27 x_{4} & -0.95 x_{14} & +  0.02 x_{22} & +  0.03 x_{28} & +  0.10 x_{6} & +  0.15 x_{3} & -0.61 x_{15} & +  0.10 x_{2} & +  0.12 x_{9} & -0.01 x_{21} & -0.04 x_{30}\\
 x_{33}   &  110.73549043 & -1.70 x_{29} & -0.27 x_{32} & +  0.51 x_{23} & -14.62 x_{12} & +  0.14 x_{18} & +  3.86 x_{4} & -11.33 x_{14} & +  0.81 x_{22} & +  1.71 x_{28} & -37.16 x_{6} & -6.97 x_{3} & +  9.08 x_{15} & -24.30 x_{2} & +  5.97 x_{9} & -0.19 x_{21} & +  0.20 x_{30}\\
\hline
z    &  2.89223113732 & -0.19 x_{29} & -0.23 x_{32} & +  0.09 x_{23} & +  1.31 x_{12} & +  0.27 x_{18} & -8.38 x_{4} & -2.03 x_{14} & -0.36 x_{22} & -0.28 x_{28} & -2.64 x_{6} & +  1.30 x_{3} & -1.11 x_{15} & -1.53 x_{2} & +  3.84 x_{9} & -0.04 x_{21} & +  0.09 x_{30}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{11} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  5.51971923811 & -0.10 x_{29} & +  0.07 x_{32} & +  0.06 x_{23} & -0.75 x_{12} & +  0.02 x_{18} & +  0.30 x_{4} & -2.25 x_{14} & +  0.05 x_{22} & +  0.19 x_{28} & -0.41 x_{6} & -0.49 x_{11} & -0.32 x_{15} & -1.26 x_{2} & +  0.23 x_{9} & +  0.07 x_{21} & -0.08 x_{30}\\
 x_{27}   &  117.70084995 & -3.19 x_{29} & -0.23 x_{32} & +  2.44 x_{23} & -3.66 x_{12} & +  3.16 x_{18} & -0.12 x_{4} & -65.50 x_{14} & +  0.11 x_{22} & +  5.24 x_{28} & -32.74 x_{6} & -11.21 x_{11} & -18.06 x_{15} & -16.80 x_{2} & -12.58 x_{9} & +  1.73 x_{21} & -1.64 x_{30}\\
 x_{19}   &  105.488943137 & -0.23 x_{29} & +  0.69 x_{32} & +  0.56 x_{23} & -30.05 x_{12} & -0.98 x_{18} & +  7.55 x_{4} & -5.31 x_{14} & +  0.64 x_{22} & +  0.58 x_{28} & +  5.66 x_{6} & -3.63 x_{11} & +  8.79 x_{15} & -29.70 x_{2} & +  2.35 x_{9} & +  0.92 x_{21} & -0.67 x_{30}\\
 x_{20}   &  24.1818118086 & +  0.51 x_{29} & +  0.52 x_{32} & -2.24 x_{23} & -19.38 x_{12} & -2.72 x_{18} & +  8.47 x_{4} & + 42.64 x_{14} & +  1.22 x_{22} & -2.15 x_{28} & -6.13 x_{6} & +  2.48 x_{11} & + 11.06 x_{15} & -13.20 x_{2} & + 25.07 x_{9} & -1.16 x_{21} & +  1.39 x_{30}\\
 x_{5}   &  2.74968698756 & -0.07 x_{29} & +  0.00 x_{32} & +  0.12 x_{23} & -0.58 x_{12} & +  0.02 x_{18} & +  0.54 x_{4} & -1.62 x_{14} & -0.03 x_{22} & +  0.13 x_{28} & -0.68 x_{6} & -0.01 x_{11} & +  0.33 x_{15} & -0.39 x_{2} & -0.18 x_{9} & +  0.04 x_{21} & -0.04 x_{30}\\
 x_{25}   &  67.4892507379 & -1.42 x_{29} & +  0.79 x_{32} & +  1.43 x_{23} & -5.33 x_{12} & +  0.71 x_{18} & +  8.52 x_{4} & -46.40 x_{14} & +  0.09 x_{22} & +  2.83 x_{28} & +  4.15 x_{6} & -5.95 x_{11} & -16.35 x_{15} & -22.78 x_{2} & +  0.99 x_{9} & +  0.93 x_{21} & -1.50 x_{30}\\
 x_{10}   &  4.35334242328 & -0.13 x_{29} & -0.02 x_{32} & +  0.03 x_{23} & +  0.28 x_{12} & +  0.08 x_{18} & -0.19 x_{4} & -1.82 x_{14} & +  0.02 x_{22} & +  0.16 x_{28} & -1.89 x_{6} & -0.68 x_{11} & +  0.03 x_{15} & -0.31 x_{2} & +  0.73 x_{9} & +  0.01 x_{21} & -0.01 x_{30}\\
 x_{24}   &  13.0916960581 & +  1.52 x_{29} & +  0.73 x_{32} & -3.03 x_{23} & +  4.46 x_{12} & -1.60 x_{18} & -30.49 x_{4} & + 53.50 x_{14} & +  0.59 x_{22} & -3.96 x_{28} & + 21.85 x_{6} & +  5.66 x_{11} & -11.20 x_{15} & +  8.85 x_{2} & + 21.54 x_{9} & -1.60 x_{21} & +  1.16 x_{30}\\
 x_{3}   &  5.76058958485 & -0.14 x_{29} & -0.02 x_{32} & +  0.18 x_{23} & -0.31 x_{12} & +  0.12 x_{18} & +  1.05 x_{4} & -3.63 x_{14} & +  0.03 x_{22} & +  0.30 x_{28} & -2.13 x_{6} & -1.20 x_{11} & +  0.35 x_{15} & -0.93 x_{2} & -0.74 x_{9} & +  0.10 x_{21} & -0.06 x_{30}\\
 x_{26}   &  58.1725215777 & +  0.24 x_{29} & -0.07 x_{32} & -0.19 x_{23} & -0.53 x_{12} & -0.81 x_{18} & -5.67 x_{4} & +  6.30 x_{14} & +  0.53 x_{22} & -0.54 x_{28} & -14.90 x_{6} & -5.94 x_{11} & + 25.86 x_{15} & -9.99 x_{2} & + 12.67 x_{9} & -1.03 x_{21} & +  0.25 x_{30}\\
 x_{8}   &  4.71283608562 & -0.13 x_{29} & -0.01 x_{32} & +  0.13 x_{23} & -0.35 x_{12} & +  0.11 x_{18} & +  0.48 x_{4} & -3.05 x_{14} & +  0.01 x_{22} & +  0.23 x_{28} & -0.72 x_{6} & -0.23 x_{11} & -0.22 x_{15} & -1.11 x_{2} & -0.27 x_{9} & +  0.11 x_{21} & -0.11 x_{30}\\
 x_{17}   &  23.9925954589 & -0.18 x_{29} & +  0.42 x_{32} & +  1.94 x_{23} & -13.84 x_{12} & +  1.07 x_{18} & +  9.52 x_{4} & -43.31 x_{14} & -1.19 x_{22} & +  2.01 x_{28} & + 23.03 x_{6} & +  2.59 x_{11} & -18.61 x_{15} & -4.16 x_{2} & -14.67 x_{9} & +  1.83 x_{21} & -1.80 x_{30}\\
 x_{7}   &  2.56938947227 & -0.08 x_{29} & +  0.01 x_{32} & +  0.09 x_{23} & +  0.82 x_{12} & +  0.20 x_{18} & -0.52 x_{4} & -3.73 x_{14} & -0.07 x_{22} & +  0.18 x_{28} & -0.05 x_{6} & -0.52 x_{11} & -2.38 x_{15} & +  1.05 x_{2} & -0.80 x_{9} & +  0.09 x_{21} & -0.09 x_{30}\\
 x_{1}   &  2.33443487251 & -0.02 x_{29} & +  0.00 x_{32} & -0.03 x_{23} & -0.82 x_{12} & -0.03 x_{18} & +  0.10 x_{4} & +  0.89 x_{14} & +  0.03 x_{22} & -0.04 x_{28} & -0.20 x_{6} & -0.26 x_{11} & +  0.49 x_{15} & -0.33 x_{2} & +  0.32 x_{9} & +  0.00 x_{21} & +  0.06 x_{30}\\
 x_{31}   &  68.6863381047 & -1.13 x_{29} & -0.13 x_{32} & +  1.45 x_{23} & -3.64 x_{12} & +  2.15 x_{18} & -5.18 x_{4} & -46.47 x_{14} & -0.69 x_{22} & +  1.99 x_{28} & -6.74 x_{6} & -3.26 x_{11} & -9.49 x_{15} & -2.92 x_{2} & -17.06 x_{9} & +  0.84 x_{21} & -1.20 x_{30}\\
 x_{13}   &  2.66713058625 & -0.06 x_{29} & +  0.02 x_{32} & +  0.03 x_{23} & +  0.33 x_{12} & +  0.09 x_{18} & -1.12 x_{4} & -1.49 x_{14} & +  0.02 x_{22} & +  0.08 x_{28} & -0.22 x_{6} & -0.18 x_{11} & -0.56 x_{15} & -0.04 x_{2} & +  0.01 x_{9} & +  0.00 x_{21} & -0.05 x_{30}\\
 x_{33}   &  70.5736388609 & -0.70 x_{29} & -0.10 x_{32} & -0.77 x_{23} & -12.45 x_{12} & -0.68 x_{18} & -3.48 x_{4} & + 14.00 x_{14} & +  0.62 x_{22} & -0.37 x_{28} & -22.30 x_{6} & +  8.34 x_{11} & +  6.64 x_{15} & -17.80 x_{2} & + 11.14 x_{9} & -0.88 x_{21} & +  0.63 x_{30}\\
\hline
z    &  10.3619003925 & -0.38 x_{29} & -0.26 x_{32} & +  0.33 x_{23} & +  0.90 x_{12} & +  0.42 x_{18} & -7.02 x_{4} & -6.75 x_{14} & -0.32 x_{22} & +  0.10 x_{28} & -5.40 x_{6} & -1.55 x_{11} & -0.65 x_{15} & -2.74 x_{2} & +  2.88 x_{9} & +  0.09 x_{21} & +  0.01 x_{30}\\
\end{array}\]


 $ x_{9} $ enters and $ x_{17} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  5.89030816803 & -0.10 x_{29} & +  0.07 x_{32} & +  0.09 x_{23} & -0.96 x_{12} & +  0.04 x_{18} & +  0.45 x_{4} & -2.92 x_{14} & +  0.03 x_{22} & +  0.22 x_{28} & -0.06 x_{6} & -0.45 x_{11} & -0.60 x_{15} & -1.33 x_{2} & -0.02 x_{17} & +  0.09 x_{21} & -0.10 x_{30}\\
 x_{27}   &  97.1318015494 & -3.03 x_{29} & -0.59 x_{32} & +  0.78 x_{23} & +  8.20 x_{12} & +  2.25 x_{18} & -8.28 x_{4} & -28.37 x_{14} & +  1.14 x_{22} & +  3.51 x_{28} & -52.48 x_{6} & -13.43 x_{11} & -2.10 x_{15} & -13.23 x_{2} & +  0.86 x_{17} & +  0.16 x_{21} & -0.10 x_{30}\\
 x_{19}   &  109.334885932 & -0.26 x_{29} & +  0.76 x_{32} & +  0.87 x_{23} & -32.27 x_{12} & -0.81 x_{18} & +  9.08 x_{4} & -12.25 x_{14} & +  0.45 x_{22} & +  0.91 x_{28} & +  9.35 x_{6} & -3.22 x_{11} & +  5.81 x_{15} & -30.37 x_{2} & -0.16 x_{17} & +  1.21 x_{21} & -0.95 x_{30}\\
 x_{20}   &  65.176391647 & +  0.20 x_{29} & +  1.23 x_{32} & +  1.07 x_{23} & -43.02 x_{12} & -0.89 x_{18} & + 24.74 x_{4} & -31.36 x_{14} & -0.82 x_{22} & +  1.28 x_{28} & + 33.21 x_{6} & +  6.90 x_{11} & -20.74 x_{15} & -20.31 x_{2} & -1.71 x_{17} & +  1.97 x_{21} & -1.68 x_{30}\\
 x_{5}   &  2.45842108806 & -0.06 x_{29} & -0.00 x_{32} & +  0.09 x_{23} & -0.41 x_{12} & +  0.01 x_{18} & +  0.42 x_{4} & -1.10 x_{14} & -0.02 x_{22} & +  0.10 x_{28} & -0.96 x_{6} & -0.05 x_{11} & +  0.55 x_{15} & -0.33 x_{2} & +  0.01 x_{17} & +  0.01 x_{21} & -0.02 x_{30}\\
 x_{25}   &  69.1011272526 & -1.43 x_{29} & +  0.81 x_{32} & +  1.56 x_{23} & -6.26 x_{12} & +  0.78 x_{18} & +  9.16 x_{4} & -49.31 x_{14} & +  0.01 x_{22} & +  2.96 x_{28} & +  5.70 x_{6} & -5.78 x_{11} & -17.60 x_{15} & -23.06 x_{2} & -0.07 x_{17} & +  1.05 x_{21} & -1.62 x_{30}\\
 x_{10}   &  5.55273818524 & -0.14 x_{29} & -0.00 x_{32} & +  0.13 x_{23} & -0.41 x_{12} & +  0.13 x_{18} & +  0.28 x_{4} & -3.99 x_{14} & -0.04 x_{22} & +  0.26 x_{28} & -0.73 x_{6} & -0.55 x_{11} & -0.90 x_{15} & -0.52 x_{2} & -0.05 x_{17} & +  0.10 x_{21} & -0.10 x_{30}\\
 x_{24}   &  48.3140550493 & +  1.25 x_{29} & +  1.34 x_{32} & -0.18 x_{23} & -15.86 x_{12} & -0.03 x_{18} & -16.51 x_{4} & -10.08 x_{14} & -1.16 x_{22} & -1.00 x_{28} & + 55.66 x_{6} & +  9.46 x_{11} & -38.53 x_{15} & +  2.74 x_{2} & -1.47 x_{17} & +  1.09 x_{21} & -1.48 x_{30}\\
 x_{3}   &  4.54823122777 & -0.13 x_{29} & -0.05 x_{32} & +  0.09 x_{23} & +  0.39 x_{12} & +  0.06 x_{18} & +  0.57 x_{4} & -1.45 x_{14} & +  0.09 x_{22} & +  0.20 x_{28} & -3.30 x_{6} & -1.33 x_{11} & +  1.29 x_{15} & -0.72 x_{2} & +  0.05 x_{17} & +  0.01 x_{21} & +  0.03 x_{30}\\
 x_{26}   &  78.891700068 & +  0.08 x_{29} & +  0.29 x_{32} & +  1.49 x_{23} & -12.48 x_{12} & +  0.12 x_{18} & +  2.55 x_{4} & -31.10 x_{14} & -0.50 x_{22} & +  1.20 x_{28} & +  4.99 x_{6} & -3.70 x_{11} & +  9.79 x_{15} & -13.59 x_{2} & -0.86 x_{17} & +  0.56 x_{21} & -1.30 x_{30}\\
 x_{8}   &  4.27530743949 & -0.13 x_{29} & -0.02 x_{32} & +  0.10 x_{23} & -0.10 x_{12} & +  0.09 x_{18} & +  0.31 x_{4} & -2.27 x_{14} & +  0.03 x_{22} & +  0.20 x_{28} & -1.14 x_{6} & -0.28 x_{11} & +  0.12 x_{15} & -1.03 x_{2} & +  0.02 x_{17} & +  0.08 x_{21} & -0.08 x_{30}\\
 x_{9}   &  1.6350306006 & -0.01 x_{29} & +  0.03 x_{32} & +  0.13 x_{23} & -0.94 x_{12} & +  0.07 x_{18} & +  0.65 x_{4} & -2.95 x_{14} & -0.08 x_{22} & +  0.14 x_{28} & +  1.57 x_{6} & +  0.18 x_{11} & -1.27 x_{15} & -0.28 x_{2} & -0.07 x_{17} & +  0.12 x_{21} & -0.12 x_{30}\\
 x_{7}   &  1.26399849495 & -0.07 x_{29} & -0.01 x_{32} & -0.01 x_{23} & +  1.57 x_{12} & +  0.14 x_{18} & -1.04 x_{4} & -1.37 x_{14} & -0.01 x_{22} & +  0.07 x_{28} & -1.30 x_{6} & -0.66 x_{11} & -1.37 x_{15} & +  1.27 x_{2} & +  0.05 x_{17} & -0.01 x_{21} & +  0.01 x_{30}\\
 x_{1}   &  2.85120919071 & -0.03 x_{29} & +  0.01 x_{32} & +  0.01 x_{23} & -1.12 x_{12} & -0.01 x_{18} & +  0.30 x_{4} & -0.05 x_{14} & +  0.00 x_{22} & +  0.00 x_{28} & +  0.30 x_{6} & -0.21 x_{11} & +  0.09 x_{15} & -0.42 x_{2} & -0.02 x_{17} & +  0.04 x_{21} & +  0.03 x_{30}\\
 x_{31}   &  40.7896683797 & -0.92 x_{29} & -0.61 x_{32} & -0.81 x_{23} & + 12.45 x_{12} & +  0.91 x_{18} & -16.26 x_{4} & +  3.89 x_{14} & +  0.70 x_{22} & -0.35 x_{28} & -33.51 x_{6} & -6.27 x_{11} & + 12.15 x_{15} & +  1.92 x_{2} & +  1.16 x_{17} & -1.29 x_{21} & +  0.89 x_{30}\\
 x_{13}   &  2.68640291869 & -0.06 x_{29} & +  0.02 x_{32} & +  0.03 x_{23} & +  0.32 x_{12} & +  0.09 x_{18} & -1.11 x_{4} & -1.52 x_{14} & +  0.02 x_{22} & +  0.08 x_{28} & -0.20 x_{6} & -0.17 x_{11} & -0.57 x_{15} & -0.04 x_{2} & -0.00 x_{17} & +  0.01 x_{21} & -0.05 x_{30}\\
 x_{33}   &  88.7819117354 & -0.84 x_{29} & +  0.21 x_{32} & +  0.70 x_{23} & -22.95 x_{12} & +  0.13 x_{18} & +  3.74 x_{4} & -18.86 x_{14} & -0.29 x_{22} & +  1.16 x_{28} & -4.82 x_{6} & + 10.30 x_{11} & -7.49 x_{15} & -20.95 x_{2} & -0.76 x_{17} & +  0.51 x_{21} & -0.74 x_{30}\\
\hline
z    &  15.0694955453 & -0.42 x_{29} & -0.18 x_{32} & +  0.71 x_{23} & -1.81 x_{12} & +  0.63 x_{18} & -5.15 x_{4} & -15.24 x_{14} & -0.56 x_{22} & +  0.50 x_{28} & -0.88 x_{6} & -1.04 x_{11} & -4.30 x_{15} & -3.56 x_{2} & -0.20 x_{17} & +  0.45 x_{21} & -0.35 x_{30}\\
\end{array}\]


 $ x_{18} $ enters and $ x_{20} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  8.76926769144 & -0.09 x_{29} & +  0.13 x_{32} & +  0.14 x_{23} & -2.86 x_{12} & -0.04 x_{20} & +  1.54 x_{4} & -4.30 x_{14} & -0.01 x_{22} & +  0.28 x_{28} & +  1.41 x_{6} & -0.14 x_{11} & -1.52 x_{15} & -2.22 x_{2} & -0.09 x_{17} & +  0.18 x_{21} & -0.18 x_{30}\\
 x_{27}   &  261.382335981 & -2.54 x_{29} & +  2.51 x_{32} & +  3.48 x_{23} & -100.21 x_{12} & -2.52 x_{20} & + 54.05 x_{4} & -107.41 x_{14} & -0.93 x_{22} & +  6.75 x_{28} & + 31.22 x_{6} & +  3.97 x_{11} & -54.37 x_{15} & -64.41 x_{2} & -3.45 x_{17} & +  5.14 x_{21} & -4.34 x_{30}\\
 x_{19}   &  49.9666537728 & -0.43 x_{29} & -0.37 x_{32} & -0.10 x_{23} & +  6.91 x_{12} & +  0.91 x_{20} & -13.45 x_{4} & + 16.31 x_{14} & +  1.19 x_{22} & -0.27 x_{28} & -20.90 x_{6} & -9.51 x_{11} & + 24.70 x_{15} & -11.87 x_{2} & +  1.40 x_{17} & -0.59 x_{21} & +  0.58 x_{30}\\
 x_{18}   &  73.1115762589 & +  0.22 x_{29} & +  1.38 x_{32} & +  1.20 x_{23} & -48.25 x_{12} & -1.12 x_{20} & + 27.75 x_{4} & -35.18 x_{14} & -0.92 x_{22} & +  1.44 x_{28} & + 37.26 x_{6} & +  7.74 x_{11} & -23.27 x_{15} & -22.78 x_{2} & -1.92 x_{17} & +  2.21 x_{21} & -1.89 x_{30}\\
 x_{5}   &  3.17832225756 & -0.06 x_{29} & +  0.01 x_{32} & +  0.11 x_{23} & -0.89 x_{12} & -0.01 x_{20} & +  0.70 x_{4} & -1.44 x_{14} & -0.02 x_{22} & +  0.12 x_{28} & -0.59 x_{6} & +  0.03 x_{11} & +  0.32 x_{15} & -0.56 x_{2} & -0.01 x_{17} & +  0.04 x_{21} & -0.04 x_{30}\\
 x_{25}   &  126.204178385 & -1.26 x_{29} & +  1.89 x_{32} & +  2.50 x_{23} & -43.95 x_{12} & -0.88 x_{20} & + 30.83 x_{4} & -76.78 x_{14} & -0.71 x_{22} & +  4.09 x_{28} & + 34.80 x_{6} & +  0.27 x_{11} & -35.78 x_{15} & -40.86 x_{2} & -1.56 x_{17} & +  2.78 x_{21} & -3.09 x_{30}\\
 x_{10}   &  15.2474036669 & -0.11 x_{29} & +  0.18 x_{32} & +  0.29 x_{23} & -6.81 x_{12} & -0.15 x_{20} & +  3.96 x_{4} & -8.65 x_{14} & -0.16 x_{22} & +  0.45 x_{28} & +  4.21 x_{6} & +  0.47 x_{11} & -3.98 x_{15} & -3.54 x_{2} & -0.30 x_{17} & +  0.39 x_{21} & -0.35 x_{30}\\
 x_{24}   &  45.7560927402 & +  1.24 x_{29} & +  1.30 x_{32} & -0.22 x_{23} & -14.17 x_{12} & +  0.04 x_{20} & -17.48 x_{4} & -8.85 x_{14} & -1.13 x_{22} & -1.05 x_{28} & + 54.35 x_{6} & +  9.19 x_{11} & -37.71 x_{15} & +  3.54 x_{2} & -1.40 x_{17} & +  1.01 x_{21} & -1.42 x_{30}\\
 x_{3}   &  9.23075088631 & -0.12 x_{29} & +  0.04 x_{32} & +  0.16 x_{23} & -2.70 x_{12} & -0.07 x_{20} & +  2.35 x_{4} & -3.70 x_{14} & +  0.03 x_{22} & +  0.29 x_{28} & -0.91 x_{6} & -0.83 x_{11} & -0.20 x_{15} & -2.18 x_{2} & -0.07 x_{17} & +  0.15 x_{21} & -0.09 x_{30}\\
 x_{26}   &  87.4775101089 & +  0.11 x_{29} & +  0.45 x_{32} & +  1.63 x_{23} & -18.14 x_{12} & -0.13 x_{20} & +  5.81 x_{4} & -35.23 x_{14} & -0.60 x_{22} & +  1.37 x_{28} & +  9.37 x_{6} & -2.79 x_{11} & +  7.05 x_{15} & -16.27 x_{2} & -1.09 x_{17} & +  0.82 x_{21} & -1.52 x_{30}\\
 x_{8}   &  10.6593405567 & -0.11 x_{29} & +  0.10 x_{32} & +  0.20 x_{23} & -4.31 x_{12} & -0.10 x_{20} & +  2.73 x_{4} & -5.34 x_{14} & -0.05 x_{22} & +  0.32 x_{28} & +  2.11 x_{6} & +  0.40 x_{11} & -1.92 x_{15} & -3.02 x_{2} & -0.15 x_{17} & +  0.27 x_{21} & -0.25 x_{30}\\
 x_{9}   &  6.95968967974 & +  0.00 x_{29} & +  0.13 x_{32} & +  0.22 x_{23} & -4.46 x_{12} & -0.08 x_{20} & +  2.67 x_{4} & -5.51 x_{14} & -0.15 x_{22} & +  0.24 x_{28} & +  4.28 x_{6} & +  0.74 x_{11} & -2.96 x_{15} & -1.94 x_{2} & -0.21 x_{17} & +  0.29 x_{21} & -0.26 x_{30}\\
 x_{7}   &  11.6185962523 & -0.03 x_{29} & +  0.18 x_{32} & +  0.16 x_{23} & -5.26 x_{12} & -0.16 x_{20} & +  2.89 x_{4} & -6.35 x_{14} & -0.14 x_{22} & +  0.27 x_{28} & +  3.98 x_{6} & +  0.44 x_{11} & -4.67 x_{15} & -1.95 x_{2} & -0.22 x_{17} & +  0.30 x_{21} & -0.26 x_{30}\\
 x_{1}   &  2.44593477213 & -0.03 x_{29} & +  0.01 x_{32} & +  0.00 x_{23} & -0.85 x_{12} & +  0.01 x_{20} & +  0.15 x_{4} & +  0.15 x_{14} & +  0.01 x_{22} & -0.01 x_{28} & +  0.09 x_{6} & -0.25 x_{11} & +  0.22 x_{15} & -0.29 x_{2} & -0.01 x_{17} & +  0.03 x_{21} & +  0.04 x_{30}\\
 x_{31}   &  107.184279928 & -0.72 x_{29} & +  0.64 x_{32} & +  0.28 x_{23} & -31.37 x_{12} & -1.02 x_{20} & +  8.94 x_{4} & -28.06 x_{14} & -0.13 x_{22} & +  0.96 x_{28} & +  0.32 x_{6} & +  0.76 x_{11} & -8.98 x_{15} & -18.77 x_{2} & -0.58 x_{17} & +  0.72 x_{21} & -0.82 x_{30}\\
 x_{13}   &  9.17801263864 & -0.04 x_{29} & +  0.15 x_{32} & +  0.13 x_{23} & -3.96 x_{12} & -0.10 x_{20} & +  1.36 x_{4} & -4.65 x_{14} & -0.06 x_{22} & +  0.21 x_{28} & +  3.11 x_{6} & +  0.51 x_{11} & -2.64 x_{15} & -2.07 x_{2} & -0.17 x_{17} & +  0.20 x_{21} & -0.22 x_{30}\\
 x_{33}   &  98.4159775491 & -0.81 x_{29} & +  0.39 x_{32} & +  0.86 x_{23} & -29.31 x_{12} & -0.15 x_{20} & +  7.40 x_{4} & -23.50 x_{14} & -0.41 x_{22} & +  1.35 x_{28} & +  0.09 x_{6} & + 11.32 x_{11} & -10.55 x_{15} & -23.96 x_{2} & -1.01 x_{17} & +  0.80 x_{21} & -0.98 x_{30}\\
\hline
z    &  61.4466260522 & -0.28 x_{29} & +  0.70 x_{32} & +  1.48 x_{23} & -32.42 x_{12} & -0.71 x_{20} & + 12.45 x_{4} & -37.56 x_{14} & -1.14 x_{22} & +  1.41 x_{28} & + 22.75 x_{6} & +  3.87 x_{11} & -19.06 x_{15} & -18.01 x_{2} & -1.41 x_{17} & +  1.85 x_{21} & -1.54 x_{30}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{24} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  12.7975189418 & +  0.02 x_{29} & +  0.24 x_{32} & +  0.12 x_{23} & -4.11 x_{12} & -0.04 x_{20} & -0.09 x_{24} & -5.08 x_{14} & -0.11 x_{22} & +  0.19 x_{28} & +  6.19 x_{6} & +  0.67 x_{11} & -4.84 x_{15} & -1.91 x_{2} & -0.21 x_{17} & +  0.27 x_{21} & -0.30 x_{30}\\
 x_{27}   &  402.849312887 & +  1.30 x_{29} & +  6.52 x_{32} & +  2.80 x_{23} & -144.01 x_{12} & -2.40 x_{20} & -3.09 x_{24} & -134.78 x_{14} & -4.41 x_{22} & +  3.50 x_{28} & + 199.27 x_{6} & + 32.39 x_{11} & -170.97 x_{15} & -53.47 x_{2} & -7.78 x_{17} & +  8.26 x_{21} & -8.71 x_{30}\\
 x_{19}   &  14.7634013564 & -1.39 x_{29} & -1.36 x_{32} & +  0.06 x_{23} & + 17.81 x_{12} & +  0.88 x_{20} & +  0.77 x_{24} & + 23.12 x_{14} & +  2.06 x_{22} & +  0.54 x_{28} & -62.72 x_{6} & -16.58 x_{11} & + 53.72 x_{15} & -14.59 x_{2} & +  2.47 x_{17} & -1.37 x_{21} & +  1.67 x_{30}\\
 x_{18}   &  145.731116339 & +  2.19 x_{29} & +  3.44 x_{32} & +  0.85 x_{23} & -70.74 x_{12} & -1.06 x_{20} & -1.59 x_{24} & -49.23 x_{14} & -2.71 x_{22} & -0.23 x_{28} & + 123.52 x_{6} & + 22.33 x_{11} & -83.12 x_{15} & -17.17 x_{2} & -4.14 x_{17} & +  3.82 x_{21} & -4.13 x_{30}\\
 x_{5}   &  4.99964671633 & -0.01 x_{29} & +  0.06 x_{32} & +  0.10 x_{23} & -1.45 x_{12} & -0.01 x_{20} & -0.04 x_{24} & -1.79 x_{14} & -0.07 x_{22} & +  0.07 x_{28} & +  1.57 x_{6} & +  0.40 x_{11} & -1.18 x_{15} & -0.42 x_{2} & -0.06 x_{17} & +  0.08 x_{21} & -0.10 x_{30}\\
 x_{25}   &  206.902265301 & +  0.93 x_{29} & +  4.18 x_{32} & +  2.11 x_{23} & -68.94 x_{12} & -0.81 x_{20} & -1.76 x_{24} & -92.40 x_{14} & -2.70 x_{22} & +  2.23 x_{28} & + 130.66 x_{6} & + 16.48 x_{11} & -102.29 x_{15} & -34.62 x_{2} & -4.04 x_{17} & +  4.56 x_{21} & -5.59 x_{30}\\
 x_{10}   &  25.6132384734 & +  0.17 x_{29} & +  0.48 x_{32} & +  0.24 x_{23} & -10.02 x_{12} & -0.14 x_{20} & -0.23 x_{24} & -10.66 x_{14} & -0.42 x_{22} & +  0.21 x_{28} & + 16.52 x_{6} & +  2.56 x_{11} & -12.52 x_{15} & -2.74 x_{2} & -0.62 x_{17} & +  0.62 x_{21} & -0.67 x_{30}\\
 x_{4}   &  2.61709399281 & +  0.07 x_{29} & +  0.07 x_{32} & -0.01 x_{23} & -0.81 x_{12} & +  0.00 x_{20} & -0.06 x_{24} & -0.51 x_{14} & -0.06 x_{22} & -0.06 x_{28} & +  3.11 x_{6} & +  0.53 x_{11} & -2.16 x_{15} & +  0.20 x_{2} & -0.08 x_{17} & +  0.06 x_{21} & -0.08 x_{30}\\
 x_{3}   &  15.3795256023 & +  0.05 x_{29} & +  0.22 x_{32} & +  0.13 x_{23} & -4.61 x_{12} & -0.07 x_{20} & -0.13 x_{24} & -4.89 x_{14} & -0.12 x_{22} & +  0.15 x_{28} & +  6.39 x_{6} & +  0.40 x_{11} & -5.27 x_{15} & -1.71 x_{2} & -0.26 x_{17} & +  0.28 x_{21} & -0.28 x_{30}\\
 x_{26}   &  102.681886112 & +  0.52 x_{29} & +  0.89 x_{32} & +  1.56 x_{23} & -22.85 x_{12} & -0.12 x_{20} & -0.33 x_{24} & -38.17 x_{14} & -0.98 x_{22} & +  1.02 x_{28} & + 27.43 x_{6} & +  0.26 x_{11} & -5.48 x_{15} & -15.09 x_{2} & -1.55 x_{17} & +  1.15 x_{21} & -1.99 x_{30}\\
 x_{8}   &  17.8119440923 & +  0.08 x_{29} & +  0.30 x_{32} & +  0.17 x_{23} & -6.53 x_{12} & -0.09 x_{20} & -0.16 x_{24} & -6.72 x_{14} & -0.23 x_{22} & +  0.16 x_{28} & + 10.61 x_{6} & +  1.83 x_{11} & -7.81 x_{15} & -2.47 x_{2} & -0.37 x_{17} & +  0.43 x_{21} & -0.47 x_{30}\\
 x_{9}   &  13.9466497809 & +  0.19 x_{29} & +  0.33 x_{32} & +  0.19 x_{23} & -6.62 x_{12} & -0.08 x_{20} & -0.15 x_{24} & -6.87 x_{14} & -0.32 x_{22} & +  0.08 x_{28} & + 12.58 x_{6} & +  2.14 x_{11} & -8.72 x_{15} & -1.40 x_{2} & -0.42 x_{17} & +  0.44 x_{21} & -0.48 x_{30}\\
 x_{7}   &  19.1839201557 & +  0.17 x_{29} & +  0.39 x_{32} & +  0.12 x_{23} & -7.60 x_{12} & -0.15 x_{20} & -0.17 x_{24} & -7.82 x_{14} & -0.32 x_{22} & +  0.10 x_{28} & + 12.96 x_{6} & +  1.96 x_{11} & -10.90 x_{15} & -1.37 x_{2} & -0.45 x_{17} & +  0.47 x_{21} & -0.49 x_{30}\\
 x_{1}   &  2.83674776383 & -0.02 x_{29} & +  0.02 x_{32} & -0.00 x_{23} & -0.97 x_{12} & +  0.01 x_{20} & -0.01 x_{24} & +  0.07 x_{14} & -0.00 x_{22} & -0.02 x_{28} & +  0.56 x_{6} & -0.17 x_{11} & -0.10 x_{15} & -0.26 x_{2} & -0.02 x_{17} & +  0.04 x_{21} & +  0.02 x_{30}\\
 x_{31}   &  130.590709513 & -0.09 x_{29} & +  1.31 x_{32} & +  0.17 x_{23} & -38.62 x_{12} & -1.00 x_{20} & -0.51 x_{24} & -32.59 x_{14} & -0.71 x_{22} & +  0.42 x_{28} & + 28.13 x_{6} & +  5.46 x_{11} & -28.27 x_{15} & -16.96 x_{2} & -1.29 x_{17} & +  1.24 x_{21} & -1.55 x_{30}\\
 x_{13}   &  12.7254513386 & +  0.05 x_{29} & +  0.25 x_{32} & +  0.12 x_{23} & -5.06 x_{12} & -0.10 x_{20} & -0.08 x_{24} & -5.33 x_{14} & -0.15 x_{22} & +  0.13 x_{28} & +  7.32 x_{6} & +  1.23 x_{11} & -5.56 x_{15} & -1.79 x_{2} & -0.28 x_{17} & +  0.28 x_{21} & -0.33 x_{30}\\
 x_{33}   &  117.7837955 & -0.29 x_{29} & +  0.94 x_{32} & +  0.77 x_{23} & -35.31 x_{12} & -0.13 x_{20} & -0.42 x_{24} & -27.25 x_{14} & -0.88 x_{22} & +  0.91 x_{28} & + 23.10 x_{6} & + 15.21 x_{11} & -26.52 x_{15} & -22.46 x_{2} & -1.60 x_{17} & +  1.23 x_{21} & -1.58 x_{30}\\
\hline
z    &  94.0369516853 & +  0.61 x_{29} & +  1.62 x_{32} & +  1.32 x_{23} & -42.51 x_{12} & -0.68 x_{20} & -0.71 x_{24} & -43.87 x_{14} & -1.94 x_{22} & +  0.66 x_{28} & + 61.47 x_{6} & + 10.42 x_{11} & -45.92 x_{15} & -15.49 x_{2} & -2.41 x_{17} & +  2.57 x_{21} & -2.55 x_{30}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{19} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  14.2553863895 & -0.12 x_{29} & +  0.11 x_{32} & +  0.13 x_{23} & -2.35 x_{12} & +  0.05 x_{20} & -0.01 x_{24} & -2.80 x_{14} & +  0.10 x_{22} & +  0.24 x_{28} & -0.10 x_{19} & -0.97 x_{11} & +  0.46 x_{15} & -3.35 x_{2} & +  0.03 x_{17} & +  0.14 x_{21} & -0.14 x_{30}\\
 x_{27}   &  449.753228185 & -3.12 x_{29} & +  2.19 x_{32} & +  3.00 x_{23} & -87.42 x_{12} & +  0.40 x_{20} & -0.65 x_{24} & -61.31 x_{14} & +  2.14 x_{22} & +  5.23 x_{28} & -3.18 x_{19} & -20.28 x_{11} & -0.30 x_{15} & -99.83 x_{2} & +  0.08 x_{17} & +  3.92 x_{21} & -3.42 x_{30}\\
 x_{6}   &  0.235383253844 & -0.02 x_{29} & -0.02 x_{32} & +  0.00 x_{23} & +  0.28 x_{12} & +  0.01 x_{20} & +  0.01 x_{24} & +  0.37 x_{14} & +  0.03 x_{22} & +  0.01 x_{28} & -0.02 x_{19} & -0.26 x_{11} & +  0.86 x_{15} & -0.23 x_{2} & +  0.04 x_{17} & -0.02 x_{21} & +  0.03 x_{30}\\
 x_{18}   &  174.80592736 & -0.55 x_{29} & +  0.75 x_{32} & +  0.98 x_{23} & -35.66 x_{12} & +  0.67 x_{20} & -0.07 x_{24} & -3.69 x_{14} & +  1.35 x_{22} & +  0.84 x_{28} & -1.97 x_{19} & -10.32 x_{11} & + 22.67 x_{15} & -45.91 x_{2} & +  0.73 x_{17} & +  1.13 x_{21} & -0.85 x_{30}\\
 x_{5}   &  5.36913053532 & -0.05 x_{29} & +  0.03 x_{32} & +  0.10 x_{23} & -1.00 x_{12} & +  0.01 x_{20} & -0.02 x_{24} & -1.22 x_{14} & -0.02 x_{22} & +  0.09 x_{28} & -0.03 x_{19} & -0.02 x_{11} & +  0.17 x_{15} & -0.78 x_{2} & -0.00 x_{17} & +  0.04 x_{21} & -0.06 x_{30}\\
 x_{25}   &  237.656377125 & -1.96 x_{29} & +  1.34 x_{32} & +  2.24 x_{23} & -31.84 x_{12} & +  1.03 x_{20} & -0.16 x_{24} & -44.22 x_{14} & +  1.60 x_{22} & +  3.37 x_{28} & -2.08 x_{19} & -18.05 x_{11} & +  9.61 x_{15} & -65.01 x_{2} & +  1.12 x_{17} & +  1.72 x_{21} & -2.12 x_{30}\\
 x_{10}   &  29.5017394189 & -0.20 x_{29} & +  0.12 x_{32} & +  0.25 x_{23} & -5.33 x_{12} & +  0.09 x_{20} & -0.02 x_{24} & -4.57 x_{14} & +  0.12 x_{22} & +  0.36 x_{28} & -0.26 x_{19} & -1.81 x_{11} & +  1.62 x_{15} & -6.58 x_{2} & +  0.03 x_{17} & +  0.26 x_{21} & -0.23 x_{30}\\
 x_{4}   &  3.34884606273 & +  0.00 x_{29} & +  0.01 x_{32} & -0.01 x_{23} & +  0.07 x_{12} & +  0.05 x_{20} & -0.02 x_{24} & +  0.64 x_{14} & +  0.04 x_{22} & -0.03 x_{28} & -0.05 x_{19} & -0.30 x_{11} & +  0.51 x_{15} & -0.52 x_{2} & +  0.04 x_{17} & -0.01 x_{21} & +  0.00 x_{30}\\
 x_{3}   &  16.884778651 & -0.10 x_{29} & +  0.08 x_{32} & +  0.14 x_{23} & -2.79 x_{12} & +  0.02 x_{20} & -0.06 x_{24} & -2.53 x_{14} & +  0.09 x_{22} & +  0.20 x_{28} & -0.10 x_{19} & -1.29 x_{11} & +  0.21 x_{15} & -3.19 x_{2} & -0.01 x_{17} & +  0.15 x_{21} & -0.11 x_{30}\\
 x_{26}   &  109.137671819 & -0.09 x_{29} & +  0.29 x_{32} & +  1.58 x_{23} & -15.06 x_{12} & +  0.27 x_{20} & +  0.00 x_{24} & -28.06 x_{14} & -0.08 x_{22} & +  1.26 x_{28} & -0.44 x_{19} & -6.99 x_{11} & + 18.01 x_{15} & -21.47 x_{2} & -0.47 x_{17} & +  0.55 x_{21} & -1.26 x_{30}\\
 x_{8}   &  20.3083288312 & -0.15 x_{29} & +  0.07 x_{32} & +  0.18 x_{23} & -3.52 x_{12} & +  0.06 x_{20} & -0.03 x_{24} & -2.81 x_{14} & +  0.12 x_{22} & +  0.25 x_{28} & -0.17 x_{19} & -0.97 x_{11} & +  1.27 x_{15} & -4.94 x_{2} & +  0.05 x_{17} & +  0.20 x_{21} & -0.19 x_{30}\\
 x_{9}   &  16.9083420816 & -0.09 x_{29} & +  0.05 x_{32} & +  0.20 x_{23} & -3.05 x_{12} & +  0.10 x_{20} & +  0.00 x_{24} & -2.23 x_{14} & +  0.09 x_{22} & +  0.19 x_{28} & -0.20 x_{19} & -1.18 x_{11} & +  2.05 x_{15} & -4.33 x_{2} & +  0.07 x_{17} & +  0.17 x_{21} & -0.14 x_{30}\\
 x_{7}   &  22.235232651 & -0.12 x_{29} & +  0.11 x_{32} & +  0.13 x_{23} & -3.92 x_{12} & +  0.03 x_{20} & -0.01 x_{24} & -3.04 x_{14} & +  0.10 x_{22} & +  0.21 x_{28} & -0.21 x_{19} & -1.47 x_{11} & +  0.20 x_{15} & -4.38 x_{2} & +  0.06 x_{17} & +  0.19 x_{21} & -0.14 x_{30}\\
 x_{1}   &  2.96761745645 & -0.03 x_{29} & +  0.00 x_{32} & +  0.00 x_{23} & -0.81 x_{12} & +  0.01 x_{20} & -0.00 x_{24} & +  0.28 x_{14} & +  0.02 x_{22} & -0.01 x_{28} & -0.01 x_{19} & -0.32 x_{11} & +  0.38 x_{15} & -0.39 x_{2} & -0.00 x_{17} & +  0.03 x_{21} & +  0.04 x_{30}\\
 x_{31}   &  137.211350735 & -0.71 x_{29} & +  0.69 x_{32} & +  0.20 x_{23} & -30.63 x_{12} & -0.60 x_{20} & -0.17 x_{24} & -22.22 x_{14} & +  0.21 x_{22} & +  0.67 x_{28} & -0.45 x_{19} & -1.97 x_{11} & -4.18 x_{15} & -23.51 x_{2} & -0.19 x_{17} & +  0.63 x_{21} & -0.80 x_{30}\\
 x_{13}   &  14.4494545109 & -0.11 x_{29} & +  0.09 x_{32} & +  0.12 x_{23} & -2.98 x_{12} & +  0.01 x_{20} & +  0.01 x_{24} & -2.63 x_{14} & +  0.09 x_{22} & +  0.19 x_{28} & -0.12 x_{19} & -0.71 x_{11} & +  0.71 x_{15} & -3.50 x_{2} & +  0.01 x_{17} & +  0.12 x_{21} & -0.13 x_{30}\\
 x_{33}   &  123.220159663 & -0.80 x_{29} & +  0.44 x_{32} & +  0.79 x_{23} & -28.75 x_{12} & +  0.19 x_{20} & -0.14 x_{24} & -18.73 x_{14} & -0.12 x_{22} & +  1.11 x_{28} & -0.37 x_{19} & +  9.11 x_{11} & -6.74 x_{15} & -27.83 x_{2} & -0.69 x_{17} & +  0.73 x_{21} & -0.97 x_{30}\\
\hline
z    &  108.505147007 & -0.75 x_{29} & +  0.29 x_{32} & +  1.38 x_{23} & -25.06 x_{12} & +  0.18 x_{20} & +  0.04 x_{24} & -21.20 x_{14} & +  0.08 x_{22} & +  1.20 x_{28} & -0.98 x_{19} & -5.83 x_{11} & +  6.72 x_{15} & -29.79 x_{2} & +  0.01 x_{17} & +  1.23 x_{21} & -0.92 x_{30}\\
\end{array}\]


 $ x_{15} $ enters and $ x_{33} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  22.7584904467 & -0.18 x_{29} & +  0.14 x_{32} & +  0.18 x_{23} & -4.33 x_{12} & +  0.06 x_{20} & -0.02 x_{24} & -4.09 x_{14} & +  0.09 x_{22} & +  0.32 x_{28} & -0.12 x_{19} & -0.34 x_{11} & -0.07 x_{33} & -5.27 x_{2} & -0.02 x_{17} & +  0.19 x_{21} & -0.21 x_{30}\\
 x_{27}   &  444.205094462 & -3.08 x_{29} & +  2.17 x_{32} & +  2.97 x_{23} & -86.13 x_{12} & +  0.39 x_{20} & -0.64 x_{24} & -60.47 x_{14} & +  2.14 x_{22} & +  5.18 x_{28} & -3.16 x_{19} & -20.69 x_{11} & +  0.05 x_{33} & -98.58 x_{2} & +  0.11 x_{17} & +  3.89 x_{21} & -3.38 x_{30}\\
 x_{6}   &  15.9015614172 & -0.12 x_{29} & +  0.03 x_{32} & +  0.10 x_{23} & -3.37 x_{12} & +  0.04 x_{20} & -0.01 x_{24} & -2.01 x_{14} & +  0.02 x_{22} & +  0.15 x_{28} & -0.06 x_{19} & +  0.89 x_{11} & -0.13 x_{33} & -3.77 x_{2} & -0.05 x_{17} & +  0.07 x_{21} & -0.10 x_{30}\\
 x_{18}   &  589.50632574 & -3.23 x_{29} & +  2.23 x_{32} & +  3.65 x_{23} & -132.42 x_{12} & +  1.32 x_{20} & -0.54 x_{24} & -66.73 x_{14} & +  0.93 x_{22} & +  4.57 x_{28} & -3.21 x_{19} & + 20.33 x_{11} & -3.37 x_{33} & -139.57 x_{2} & -1.60 x_{17} & +  3.58 x_{21} & -4.12 x_{30}\\
 x_{5}   &  8.39946291351 & -0.07 x_{29} & +  0.04 x_{32} & +  0.12 x_{23} & -1.71 x_{12} & +  0.02 x_{20} & -0.02 x_{24} & -1.68 x_{14} & -0.02 x_{22} & +  0.12 x_{28} & -0.03 x_{19} & +  0.21 x_{11} & -0.02 x_{33} & -1.47 x_{2} & -0.02 x_{17} & +  0.06 x_{21} & -0.08 x_{30}\\
 x_{25}   &  413.508063342 & -3.10 x_{29} & +  1.97 x_{32} & +  3.37 x_{23} & -72.86 x_{12} & +  1.30 x_{20} & -0.36 x_{24} & -70.96 x_{14} & +  1.42 x_{22} & +  4.94 x_{28} & -2.61 x_{19} & -5.06 x_{11} & -1.43 x_{33} & -104.73 x_{2} & +  0.13 x_{17} & +  2.76 x_{21} & -3.51 x_{30}\\
 x_{10}   &  59.2165152368 & -0.39 x_{29} & +  0.22 x_{32} & +  0.44 x_{23} & -12.26 x_{12} & +  0.14 x_{20} & -0.06 x_{24} & -9.08 x_{14} & +  0.09 x_{22} & +  0.62 x_{28} & -0.35 x_{19} & +  0.38 x_{11} & -0.24 x_{33} & -13.29 x_{2} & -0.14 x_{17} & +  0.44 x_{21} & -0.47 x_{30}\\
 x_{4}   &  12.5955376256 & -0.06 x_{29} & +  0.04 x_{32} & +  0.05 x_{23} & -2.08 x_{12} & +  0.06 x_{20} & -0.03 x_{24} & -0.77 x_{14} & +  0.03 x_{22} & +  0.05 x_{28} & -0.08 x_{19} & +  0.39 x_{11} & -0.08 x_{33} & -2.61 x_{2} & -0.01 x_{17} & +  0.04 x_{21} & -0.07 x_{30}\\
 x_{3}   &  20.7190543422 & -0.12 x_{29} & +  0.09 x_{32} & +  0.16 x_{23} & -3.69 x_{12} & +  0.03 x_{20} & -0.06 x_{24} & -3.11 x_{14} & +  0.08 x_{22} & +  0.24 x_{28} & -0.11 x_{19} & -1.00 x_{11} & -0.03 x_{33} & -4.06 x_{2} & -0.03 x_{17} & +  0.17 x_{21} & -0.14 x_{30}\\
 x_{26}   &  438.612273259 & -2.22 x_{29} & +  1.46 x_{32} & +  3.70 x_{23} & -91.93 x_{12} & +  0.78 x_{20} & -0.37 x_{24} & -78.15 x_{14} & -0.41 x_{22} & +  4.22 x_{28} & -1.42 x_{19} & + 17.37 x_{11} & -2.67 x_{33} & -95.89 x_{2} & -2.33 x_{17} & +  2.50 x_{21} & -3.86 x_{30}\\
 x_{8}   &  43.5801302186 & -0.30 x_{29} & +  0.16 x_{32} & +  0.33 x_{23} & -8.95 x_{12} & +  0.09 x_{20} & -0.05 x_{24} & -6.35 x_{14} & +  0.10 x_{22} & +  0.46 x_{28} & -0.24 x_{19} & +  0.75 x_{11} & -0.19 x_{33} & -10.19 x_{2} & -0.08 x_{17} & +  0.34 x_{21} & -0.37 x_{30}\\
 x_{9}   &  54.4966036497 & -0.33 x_{29} & +  0.19 x_{32} & +  0.44 x_{23} & -11.82 x_{12} & +  0.16 x_{20} & -0.04 x_{24} & -7.94 x_{14} & +  0.06 x_{22} & +  0.53 x_{28} & -0.31 x_{19} & +  1.60 x_{11} & -0.31 x_{33} & -12.82 x_{2} & -0.14 x_{17} & +  0.39 x_{21} & -0.44 x_{30}\\
 x_{7}   &  25.8899120594 & -0.14 x_{29} & +  0.13 x_{32} & +  0.16 x_{23} & -4.77 x_{12} & +  0.04 x_{20} & -0.01 x_{24} & -3.59 x_{14} & +  0.10 x_{22} & +  0.24 x_{28} & -0.22 x_{19} & -1.20 x_{11} & -0.03 x_{33} & -5.21 x_{2} & +  0.04 x_{17} & +  0.21 x_{21} & -0.17 x_{30}\\
 x_{1}   &  9.83261908316 & -0.07 x_{29} & +  0.03 x_{32} & +  0.04 x_{23} & -2.41 x_{12} & +  0.03 x_{20} & -0.01 x_{24} & -0.77 x_{14} & +  0.01 x_{22} & +  0.05 x_{28} & -0.03 x_{19} & +  0.19 x_{11} & -0.06 x_{33} & -1.94 x_{2} & -0.04 x_{17} & +  0.07 x_{21} & -0.02 x_{30}\\
 x_{31}   &  60.6745199295 & -0.21 x_{29} & +  0.42 x_{32} & -0.29 x_{23} & -12.78 x_{12} & -0.72 x_{20} & -0.08 x_{24} & -10.58 x_{14} & +  0.29 x_{22} & -0.02 x_{28} & -0.22 x_{19} & -7.63 x_{11} & +  0.62 x_{33} & -6.22 x_{2} & +  0.25 x_{17} & +  0.18 x_{21} & -0.20 x_{30}\\
 x_{13}   &  27.4875468192 & -0.19 x_{29} & +  0.13 x_{32} & +  0.21 x_{23} & -6.02 x_{12} & +  0.03 x_{20} & -0.00 x_{24} & -4.62 x_{14} & +  0.08 x_{22} & +  0.31 x_{28} & -0.16 x_{19} & +  0.25 x_{11} & -0.11 x_{33} & -6.44 x_{2} & -0.06 x_{17} & +  0.20 x_{21} & -0.24 x_{30}\\
 x_{15}   &  18.2916202329 & -0.12 x_{29} & +  0.07 x_{32} & +  0.12 x_{23} & -4.27 x_{12} & +  0.03 x_{20} & -0.02 x_{24} & -2.78 x_{14} & -0.02 x_{22} & +  0.16 x_{28} & -0.05 x_{19} & +  1.35 x_{11} & -0.15 x_{33} & -4.13 x_{2} & -0.10 x_{17} & +  0.11 x_{21} & -0.14 x_{30}\\
\hline
z    &  231.434959909 & -1.55 x_{29} & +  0.73 x_{32} & +  2.17 x_{23} & -53.74 x_{12} & +  0.37 x_{20} & -0.10 x_{24} & -39.89 x_{14} & -0.05 x_{22} & +  2.30 x_{28} & -1.35 x_{19} & +  3.25 x_{11} & -1.00 x_{33} & -57.56 x_{2} & -0.68 x_{17} & +  1.96 x_{21} & -1.89 x_{30}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{31} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  20.0269887713 & -0.17 x_{29} & +  0.12 x_{32} & +  0.20 x_{23} & -3.76 x_{12} & +  0.09 x_{20} & -0.02 x_{24} & -3.61 x_{14} & +  0.08 x_{22} & +  0.32 x_{28} & -0.11 x_{19} & +  0.05 x_{31} & -0.10 x_{33} & -4.99 x_{2} & -0.03 x_{17} & +  0.18 x_{21} & -0.20 x_{30}\\
 x_{27}   &  279.616926237 & -2.50 x_{29} & +  1.03 x_{32} & +  3.76 x_{23} & -51.47 x_{12} & +  2.35 x_{20} & -0.43 x_{24} & -31.76 x_{14} & +  1.35 x_{22} & +  5.23 x_{28} & -2.56 x_{19} & +  2.71 x_{31} & -1.64 x_{33} & -81.70 x_{2} & -0.56 x_{17} & +  3.41 x_{21} & -2.85 x_{30}\\
 x_{6}   &  23.0081876302 & -0.15 x_{29} & +  0.08 x_{32} & +  0.07 x_{23} & -4.87 x_{12} & -0.05 x_{20} & -0.01 x_{24} & -3.25 x_{14} & +  0.05 x_{22} & +  0.15 x_{28} & -0.09 x_{19} & -0.12 x_{31} & -0.05 x_{33} & -4.50 x_{2} & -0.02 x_{17} & +  0.09 x_{21} & -0.12 x_{30}\\
 x_{18}   &  751.213880343 & -3.80 x_{29} & +  3.36 x_{32} & +  2.87 x_{23} & -166.47 x_{12} & -0.60 x_{20} & -0.76 x_{24} & -94.94 x_{14} & +  1.71 x_{22} & +  4.51 x_{28} & -3.79 x_{19} & -2.67 x_{31} & -1.71 x_{33} & -156.15 x_{2} & -0.95 x_{17} & +  4.05 x_{21} & -4.64 x_{30}\\
 x_{5}   &  10.0303777933 & -0.07 x_{29} & +  0.05 x_{32} & +  0.11 x_{23} & -2.05 x_{12} & -0.00 x_{20} & -0.03 x_{24} & -1.96 x_{14} & -0.01 x_{22} & +  0.11 x_{28} & -0.04 x_{19} & -0.03 x_{31} & -0.01 x_{33} & -1.64 x_{2} & -0.01 x_{17} & +  0.06 x_{21} & -0.08 x_{30}\\
 x_{25}   &  373.291735251 & -2.96 x_{29} & +  1.69 x_{32} & +  3.57 x_{23} & -64.40 x_{12} & +  1.78 x_{20} & -0.31 x_{24} & -63.94 x_{14} & +  1.22 x_{22} & +  4.96 x_{28} & -2.46 x_{19} & +  0.66 x_{31} & -1.84 x_{33} & -100.61 x_{2} & -0.03 x_{17} & +  2.64 x_{21} & -3.38 x_{30}\\
 x_{10}   &  62.2732662945 & -0.40 x_{29} & +  0.24 x_{32} & +  0.43 x_{23} & -12.90 x_{12} & +  0.10 x_{20} & -0.06 x_{24} & -9.62 x_{14} & +  0.11 x_{22} & +  0.62 x_{28} & -0.36 x_{19} & -0.05 x_{31} & -0.21 x_{33} & -13.61 x_{2} & -0.12 x_{17} & +  0.45 x_{21} & -0.48 x_{30}\\
 x_{4}   &  15.6772081814 & -0.07 x_{29} & +  0.06 x_{32} & +  0.04 x_{23} & -2.73 x_{12} & +  0.02 x_{20} & -0.03 x_{24} & -1.30 x_{14} & +  0.04 x_{22} & +  0.05 x_{28} & -0.09 x_{19} & -0.05 x_{31} & -0.04 x_{33} & -2.93 x_{2} & +  0.00 x_{17} & +  0.05 x_{21} & -0.08 x_{30}\\
 x_{3}   &  12.7485379464 & -0.09 x_{29} & +  0.04 x_{32} & +  0.20 x_{23} & -2.01 x_{12} & +  0.12 x_{20} & -0.05 x_{24} & -1.72 x_{14} & +  0.05 x_{22} & +  0.24 x_{28} & -0.08 x_{19} & +  0.13 x_{31} & -0.11 x_{33} & -3.24 x_{2} & -0.06 x_{17} & +  0.14 x_{21} & -0.12 x_{30}\\
 x_{26}   &  576.726055622 & -2.71 x_{29} & +  2.42 x_{32} & +  3.04 x_{23} & -121.02 x_{12} & -0.86 x_{20} & -0.55 x_{24} & -102.24 x_{14} & +  0.25 x_{22} & +  4.17 x_{28} & -1.92 x_{19} & -2.28 x_{31} & -1.26 x_{33} & -110.05 x_{2} & -1.77 x_{17} & +  2.90 x_{21} & -4.30 x_{30}\\
 x_{8}   &  49.5371321083 & -0.32 x_{29} & +  0.20 x_{32} & +  0.30 x_{23} & -10.20 x_{12} & +  0.02 x_{20} & -0.06 x_{24} & -7.39 x_{14} & +  0.13 x_{22} & +  0.46 x_{28} & -0.26 x_{19} & -0.10 x_{31} & -0.13 x_{33} & -10.80 x_{2} & -0.06 x_{17} & +  0.35 x_{21} & -0.39 x_{30}\\
 x_{9}   &  67.1923015884 & -0.37 x_{29} & +  0.28 x_{32} & +  0.38 x_{23} & -14.49 x_{12} & +  0.01 x_{20} & -0.06 x_{24} & -10.16 x_{14} & +  0.12 x_{22} & +  0.52 x_{28} & -0.36 x_{19} & -0.21 x_{31} & -0.18 x_{33} & -14.12 x_{2} & -0.09 x_{17} & +  0.43 x_{21} & -0.48 x_{30}\\
 x_{7}   &  16.3579395332 & -0.11 x_{29} & +  0.06 x_{32} & +  0.20 x_{23} & -2.77 x_{12} & +  0.15 x_{20} & +  0.00 x_{24} & -1.93 x_{14} & +  0.05 x_{22} & +  0.25 x_{28} & -0.18 x_{19} & +  0.16 x_{31} & -0.13 x_{33} & -4.23 x_{2} & +  0.00 x_{17} & +  0.18 x_{21} & -0.14 x_{30}\\
 x_{1}   &  11.3244136786 & -0.08 x_{29} & +  0.04 x_{32} & +  0.04 x_{23} & -2.73 x_{12} & +  0.01 x_{20} & -0.01 x_{24} & -1.03 x_{14} & +  0.02 x_{22} & +  0.05 x_{28} & -0.03 x_{19} & -0.02 x_{31} & -0.04 x_{33} & -2.10 x_{2} & -0.03 x_{17} & +  0.07 x_{21} & -0.02 x_{30}\\
 x_{11}   &  7.95353933223 & -0.03 x_{29} & +  0.06 x_{32} & -0.04 x_{23} & -1.67 x_{12} & -0.09 x_{20} & -0.01 x_{24} & -1.39 x_{14} & +  0.04 x_{22} & -0.00 x_{28} & -0.03 x_{19} & -0.13 x_{31} & +  0.08 x_{33} & -0.82 x_{2} & +  0.03 x_{17} & +  0.02 x_{21} & -0.03 x_{30}\\
 x_{13}   &  29.5002947381 & -0.20 x_{29} & +  0.15 x_{32} & +  0.20 x_{23} & -6.45 x_{12} & +  0.00 x_{20} & -0.01 x_{24} & -4.97 x_{14} & +  0.09 x_{22} & +  0.31 x_{28} & -0.16 x_{19} & -0.03 x_{31} & -0.09 x_{33} & -6.65 x_{2} & -0.06 x_{17} & +  0.20 x_{21} & -0.24 x_{30}\\
 x_{15}   &  29.0440595943 & -0.16 x_{29} & +  0.14 x_{32} & +  0.07 x_{23} & -6.53 x_{12} & -0.10 x_{20} & -0.03 x_{24} & -4.66 x_{14} & +  0.03 x_{22} & +  0.16 x_{28} & -0.09 x_{19} & -0.18 x_{31} & -0.04 x_{33} & -5.23 x_{2} & -0.06 x_{17} & +  0.14 x_{21} & -0.18 x_{30}\\
\hline
z    &  257.322338937 & -1.64 x_{29} & +  0.91 x_{32} & +  2.05 x_{23} & -59.19 x_{12} & +  0.06 x_{20} & -0.13 x_{24} & -44.41 x_{14} & +  0.08 x_{22} & +  2.29 x_{28} & -1.44 x_{19} & -0.43 x_{31} & -0.73 x_{33} & -60.21 x_{2} & -0.57 x_{17} & +  2.03 x_{21} & -1.97 x_{30}\\
\end{array}\]


 $ x_{20} $ enters and $ x_{11} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  27.7538900486 & -0.19 x_{29} & +  0.17 x_{32} & +  0.16 x_{23} & -5.38 x_{12} & -0.97 x_{11} & -0.03 x_{24} & -4.96 x_{14} & +  0.11 x_{22} & +  0.31 x_{28} & -0.14 x_{19} & -0.08 x_{31} & -0.02 x_{33} & -5.79 x_{2} & +  0.00 x_{17} & +  0.20 x_{21} & -0.22 x_{30}\\
 x_{27}   &  476.952100227 & -3.20 x_{29} & +  2.40 x_{32} & +  2.81 x_{23} & -93.02 x_{12} & -24.81 x_{11} & -0.68 x_{24} & -66.18 x_{14} & +  2.30 x_{22} & +  5.16 x_{28} & -3.28 x_{19} & -0.54 x_{31} & +  0.38 x_{33} & -101.94 x_{2} & +  0.24 x_{17} & +  3.98 x_{21} & -3.48 x_{30}\\
 x_{6}   &  19.1374668065 & -0.13 x_{29} & +  0.06 x_{32} & +  0.09 x_{23} & -4.05 x_{12} & +  0.49 x_{11} & -0.01 x_{24} & -2.58 x_{14} & +  0.03 x_{22} & +  0.15 x_{28} & -0.07 x_{19} & -0.05 x_{31} & -0.09 x_{33} & -4.10 x_{2} & -0.04 x_{17} & +  0.08 x_{21} & -0.11 x_{30}\\
 x_{18}   &  700.592878596 & -3.62 x_{29} & +  3.00 x_{32} & +  3.11 x_{23} & -155.81 x_{12} & +  6.36 x_{11} & -0.69 x_{24} & -86.11 x_{14} & +  1.47 x_{22} & +  4.53 x_{28} & -3.61 x_{19} & -1.83 x_{31} & -2.23 x_{33} & -150.96 x_{2} & -1.15 x_{17} & +  3.90 x_{21} & -4.48 x_{30}\\
 x_{5}   &  9.85062100383 & -0.07 x_{29} & +  0.05 x_{32} & +  0.11 x_{23} & -2.02 x_{12} & +  0.02 x_{11} & -0.03 x_{24} & -1.93 x_{14} & -0.01 x_{22} & +  0.11 x_{28} & -0.04 x_{19} & -0.02 x_{31} & -0.01 x_{33} & -1.62 x_{2} & -0.01 x_{17} & +  0.06 x_{21} & -0.08 x_{30}\\
 x_{25}   &  522.785861857 & -3.49 x_{29} & +  2.73 x_{32} & +  2.85 x_{23} & -95.88 x_{12} & -18.80 x_{11} & -0.50 x_{24} & -90.02 x_{14} & +  1.94 x_{22} & +  4.91 x_{28} & -3.00 x_{19} & -1.80 x_{31} & -0.31 x_{33} & -115.94 x_{2} & +  0.57 x_{17} & +  3.07 x_{21} & -3.86 x_{30}\\
 x_{10}   &  70.8443802791 & -0.43 x_{29} & +  0.30 x_{32} & +  0.39 x_{23} & -14.71 x_{12} & -1.08 x_{11} & -0.07 x_{24} & -11.11 x_{14} & +  0.15 x_{22} & +  0.62 x_{28} & -0.39 x_{19} & -0.19 x_{31} & -0.12 x_{33} & -14.49 x_{2} & -0.09 x_{17} & +  0.47 x_{21} & -0.50 x_{30}\\
 x_{4}   &  17.6589614772 & -0.08 x_{29} & +  0.07 x_{32} & +  0.03 x_{23} & -3.15 x_{12} & -0.25 x_{11} & -0.04 x_{24} & -1.65 x_{14} & +  0.05 x_{22} & +  0.05 x_{28} & -0.10 x_{19} & -0.08 x_{31} & -0.02 x_{33} & -3.13 x_{2} & +  0.01 x_{17} & +  0.06 x_{21} & -0.09 x_{30}\\
 x_{3}   &  23.1702097018 & -0.13 x_{29} & +  0.11 x_{32} & +  0.15 x_{23} & -4.20 x_{12} & -1.31 x_{11} & -0.06 x_{24} & -3.54 x_{14} & +  0.10 x_{22} & +  0.24 x_{28} & -0.12 x_{19} & -0.04 x_{31} & -0.01 x_{33} & -4.31 x_{2} & -0.02 x_{17} & +  0.17 x_{21} & -0.15 x_{30}\\
 x_{26}   &  504.244445399 & -2.45 x_{29} & +  1.92 x_{32} & +  3.39 x_{23} & -105.75 x_{12} & +  9.11 x_{11} & -0.46 x_{24} & -89.60 x_{14} & -0.10 x_{22} & +  4.19 x_{28} & -1.66 x_{19} & -1.08 x_{31} & -2.00 x_{33} & -102.62 x_{2} & -2.06 x_{17} & +  2.69 x_{21} & -4.07 x_{30}\\
 x_{8}   &  51.4261478468 & -0.33 x_{29} & +  0.21 x_{32} & +  0.29 x_{23} & -10.60 x_{12} & -0.24 x_{11} & -0.06 x_{24} & -7.72 x_{14} & +  0.14 x_{22} & +  0.46 x_{28} & -0.27 x_{19} & -0.13 x_{31} & -0.11 x_{33} & -11.00 x_{2} & -0.05 x_{17} & +  0.36 x_{21} & -0.39 x_{30}\\
 x_{9}   &  67.902223079 & -0.38 x_{29} & +  0.28 x_{32} & +  0.38 x_{23} & -14.64 x_{12} & -0.09 x_{11} & -0.06 x_{24} & -10.28 x_{14} & +  0.12 x_{22} & +  0.52 x_{28} & -0.36 x_{19} & -0.22 x_{31} & -0.17 x_{33} & -14.19 x_{2} & -0.08 x_{17} & +  0.43 x_{21} & -0.48 x_{30}\\
 x_{7}   &  28.8554912506 & -0.15 x_{29} & +  0.15 x_{32} & +  0.14 x_{23} & -5.40 x_{12} & -1.57 x_{11} & -0.01 x_{24} & -4.11 x_{14} & +  0.11 x_{22} & +  0.24 x_{28} & -0.23 x_{19} & -0.05 x_{31} & +  0.00 x_{33} & -5.51 x_{2} & +  0.05 x_{17} & +  0.22 x_{21} & -0.18 x_{30}\\
 x_{1}   &  11.9387776764 & -0.08 x_{29} & +  0.04 x_{32} & +  0.03 x_{23} & -2.86 x_{12} & -0.08 x_{11} & -0.01 x_{24} & -1.13 x_{14} & +  0.02 x_{22} & +  0.05 x_{28} & -0.04 x_{19} & -0.03 x_{31} & -0.03 x_{33} & -2.16 x_{2} & -0.03 x_{17} & +  0.07 x_{21} & -0.02 x_{30}\\
 x_{20}   &  83.8498951995 & -0.30 x_{29} & +  0.58 x_{32} & -0.40 x_{23} & -17.66 x_{12} & -10.54 x_{11} & -0.11 x_{24} & -14.63 x_{14} & +  0.40 x_{22} & -0.03 x_{28} & -0.30 x_{19} & -1.38 x_{31} & +  0.86 x_{33} & -8.60 x_{2} & +  0.34 x_{17} & +  0.24 x_{21} & -0.27 x_{30}\\
 x_{13}   &  29.7277587526 & -0.20 x_{29} & +  0.15 x_{32} & +  0.20 x_{23} & -6.50 x_{12} & -0.03 x_{11} & -0.01 x_{24} & -5.01 x_{14} & +  0.09 x_{22} & +  0.31 x_{28} & -0.16 x_{19} & -0.04 x_{31} & -0.08 x_{33} & -6.67 x_{2} & -0.06 x_{17} & +  0.20 x_{21} & -0.24 x_{30}\\
 x_{15}   &  20.6951325292 & -0.13 x_{29} & +  0.08 x_{32} & +  0.11 x_{23} & -4.77 x_{12} & +  1.05 x_{11} & -0.02 x_{24} & -3.20 x_{14} & -0.01 x_{22} & +  0.16 x_{28} & -0.06 x_{19} & -0.04 x_{31} & -0.12 x_{33} & -4.38 x_{2} & -0.09 x_{17} & +  0.12 x_{21} & -0.15 x_{30}\\
\hline
z    &  262.636507556 & -1.66 x_{29} & +  0.94 x_{32} & +  2.02 x_{23} & -60.31 x_{12} & -0.67 x_{11} & -0.14 x_{24} & -45.33 x_{14} & +  0.10 x_{22} & +  2.29 x_{28} & -1.46 x_{19} & -0.51 x_{31} & -0.68 x_{33} & -60.76 x_{2} & -0.55 x_{17} & +  2.05 x_{21} & -1.99 x_{30}\\
\end{array}\]


 $ x_{21} $ enters and Unbounded Dictionary!


 $ x_{21} $ enters and Unbounded Dictionary!
\end{document}
